TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 02/2019, Volume 23, Issue 1, pp. 103 - 127

Using Frazier and Jawerth's phi-transform, we characterize weighted generalized Carleson measure spaces (C) over dotMO(p,w)(alpha,q) for a weight w and show...

Plancherel-Polya inequality | MATHEMATICS | DECOMPOSITIONS | Carleson measure | BESOV-LIPSCHITZ | Triebel-Lizorkin space | weight | TRIEBEL-LIZORKIN SPACES

Plancherel-Polya inequality | MATHEMATICS | DECOMPOSITIONS | Carleson measure | BESOV-LIPSCHITZ | Triebel-Lizorkin space | weight | TRIEBEL-LIZORKIN SPACES

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2017, Volume 19, Issue 4, pp. 967 - 981

We show that if Omega subset of Rn+1, n >= 1, is a uniform domain (also known as a 1-sided NTA domain), i.e., a domain which enjoys interior corkscrew and...

Uniform rectifiability | Chord-arc domains | Harmonic measure | 1-sided NTA domains | Uniform domains | Carleson measures | Muckenhoupt weights | NTA domains | MATHEMATICS, APPLIED | harmonic measure | uniform domains | APPROXIMATION | uniform rectifiability | A(infinity) Muckenhoupt weights | EXTENSION-THEOREMS | REIFENBERG-FLAT | MATHEMATICS | OPERATOR | HYPERSURFACES | POISSON KERNELS

Uniform rectifiability | Chord-arc domains | Harmonic measure | 1-sided NTA domains | Uniform domains | Carleson measures | Muckenhoupt weights | NTA domains | MATHEMATICS, APPLIED | harmonic measure | uniform domains | APPROXIMATION | uniform rectifiability | A(infinity) Muckenhoupt weights | EXTENSION-THEOREMS | REIFENBERG-FLAT | MATHEMATICS | OPERATOR | HYPERSURFACES | POISSON KERNELS

Journal Article

Acta Mathematica Sinica, Chinese Series, ISSN 0583-1431, 09/2016, Volume 59, Issue 5, pp. 577 - 584

Journal Article

4.
Full Text
Carleson Measure Characterization of Weighted BMO Associated with a Family of General Sets

The Journal of Geometric Analysis, ISSN 1050-6926, 1/2017, Volume 27, Issue 1, pp. 842 - 867

In this paper, we introduce a weighted Carleson measure $$d\nu _{\mathbb {E}, w}$$ d ν E , w associated with the family $$\mathbb {E}$$ E , where $$\mathbb...

A_p$$ A p weights | Carleson measure | BMO | Calderón–Zygmund operator | Hardy spaces | Maximal operator | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Primary 42B25 | A | weights | MATHEMATICS | A(p) weights | Calderon-Zygmund operator | HARDY-SPACES | HOMOGENEOUS TYPE | OPERATORS

A_p$$ A p weights | Carleson measure | BMO | Calderón–Zygmund operator | Hardy spaces | Maximal operator | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Primary 42B25 | A | weights | MATHEMATICS | A(p) weights | Calderon-Zygmund operator | HARDY-SPACES | HOMOGENEOUS TYPE | OPERATORS

Journal Article

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, ISSN 1735-8787, 01/2019, Volume 13, Issue 1, pp. 1 - 25

Let L = -Delta + mu be the generalized Schrodinger operator on R-n,n >= 3, where Delta is the Laplacian and mu not equivalent to 0 is a nonnegative Radon...

generalized Schrodinger operator | BMO-type space | MATHEMATICS | MATHEMATICS, APPLIED | Carleson measure | DUALITY | HARDY | POTENTIALS | regularity of semigroup

generalized Schrodinger operator | BMO-type space | MATHEMATICS | MATHEMATICS, APPLIED | Carleson measure | DUALITY | HARDY | POTENTIALS | regularity of semigroup

Journal Article

TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 10/2019, Volume 23, Issue 5, pp. 1133 - 1151

Let L be a Schrodinger operator of the form L = -Delta + V acting on L-2(R-n) where the nonnegative potential V belongs to the reverse Holder class B-q for...

MATHEMATICS | Carleson measure | heat equation | POISSON INTEGRALS | BMO | Schrodinger operators | Dirichlet problem | reverse Holder inequality | HARDY | POTENTIALS | Morrey space

MATHEMATICS | Carleson measure | heat equation | POISSON INTEGRALS | BMO | Schrodinger operators | Dirichlet problem | reverse Holder inequality | HARDY | POTENTIALS | Morrey space

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2015, Volume 367, Issue 5, pp. 3225 - 3256

Let phi : R-n x [0, infinity). [0, infinity) be such that phi(x, .) is an Orlicz function and infinity(., t) is a Muckenhoupt A(infinity)(R-n) weight uniformly...

Musielak-Orlicz function | Intrinsic square function | Carleson measure | Hardy space | BOUNDED ANALYTIC-FUNCTIONS | MATHEMATICS | CAMPANATO SPACES | VARIABLES | intrinsic square function | OPERATORS | H-1

Musielak-Orlicz function | Intrinsic square function | Carleson measure | Hardy space | BOUNDED ANALYTIC-FUNCTIONS | MATHEMATICS | CAMPANATO SPACES | VARIABLES | intrinsic square function | OPERATORS | H-1

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 12/2013, Volume 15, Issue 6, pp. 1350029 - 1-1350029-37

Let φ : ℝn × [0,∞) → [0,∞) be a growth function such that φ(x, ⋅) is nondecreasing, φ(x, 0) = 0, φ(x, t) > 0 when t > 0, limt→∞φ(x, t) = ∞, and φ(⋅, t) is a...

Musielak-Orlicz function | Molecule | Carleson measure | BMO space | Lusin area function | Atom | Hardy space | MATHEMATICS, APPLIED | BMO | H-1 | HP-SPACES | MATHEMATICS | BOUNDED MEAN-OSCILLATION | VARIABLES | molecule | atom | OPERATORS | Functions (mathematics) | Infinity | Mathematical analysis

Musielak-Orlicz function | Molecule | Carleson measure | BMO space | Lusin area function | Atom | Hardy space | MATHEMATICS, APPLIED | BMO | H-1 | HP-SPACES | MATHEMATICS | BOUNDED MEAN-OSCILLATION | VARIABLES | molecule | atom | OPERATORS | Functions (mathematics) | Infinity | Mathematical analysis

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 10/2011, Volume 71, Issue 2, pp. 161 - 180

We provide a new characterization for Carleson measures in terms of the L p behaviors of certain functions represented as an integration on a non-tangential...

Caldersón–Zygmund decomposition | Analysis | Hardy spaces | Mathematics | Secondary 32A35 | Carleson measures | Primary 47B38 | Caldersón-Zygmund decomposition | AREA OPERATORS | MATHEMATICS | Q-SPACES | H-P | Calderson-Zygmund decomposition

Caldersón–Zygmund decomposition | Analysis | Hardy spaces | Mathematics | Secondary 32A35 | Carleson measures | Primary 47B38 | Caldersón-Zygmund decomposition | AREA OPERATORS | MATHEMATICS | Q-SPACES | H-P | Calderson-Zygmund decomposition

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 02/2014, Volume 266, Issue 4, pp. 2053 - 2085

Let L be a Schrödinger operator of the form L=−Δ+V acting on L2(Rn) where the nonnegative potential V belongs to the reverse Hölder class Bq for some q⩾n. Let...

Carleson measure | BMO space | Lipschitz space | Dirichlet problem | Poisson integrals | Reverse Hölder inequality | Schrödinger operators | FUNCTION-SPACES | RIESZ TRANSFORMS | HEAT KERNEL BOUNDS | HERMITE | EXPANSIONS | POTENTIALS | MATHEMATICS | Reverse Holder inequality | Schrodinger operators | HARDY

Carleson measure | BMO space | Lipschitz space | Dirichlet problem | Poisson integrals | Reverse Hölder inequality | Schrödinger operators | FUNCTION-SPACES | RIESZ TRANSFORMS | HEAT KERNEL BOUNDS | HERMITE | EXPANSIONS | POTENTIALS | MATHEMATICS | Reverse Holder inequality | Schrodinger operators | HARDY

Journal Article

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A characterization for the boundedness of positive operators in a filtered measure space

Archiv der Mathematik, ISSN 0003-889X, 12/2013, Volume 101, Issue 6, pp. 559 - 568

In terms of a Sawyer type checking condition, a necessary and sufficient condition is obtained under which the positive operator in a filtered measure space is...

60G46 | Secondary 60G40 | Conditional expectation | The Carleson embedding theorem | 60G42 | Martingale | Mathematics, general | Filtered measure space | Mathematics | Sawyer type checking condition | Primary 42B25 | Positive operator | MATHEMATICS | INEQUALITIES | MAXIMAL OPERATORS

60G46 | Secondary 60G40 | Conditional expectation | The Carleson embedding theorem | 60G42 | Martingale | Mathematics, general | Filtered measure space | Mathematics | Sawyer type checking condition | Primary 42B25 | Positive operator | MATHEMATICS | INEQUALITIES | MAXIMAL OPERATORS

Journal Article

Mathematical Notes, ISSN 0001-4346, 9/2013, Volume 94, Issue 3, pp. 551 - 558

It is shown that the Laplace transform of an L p (1 < p ≤ 2) function defined on the positive semiaxis satisfies the Hausdorff-Young type inequality with a...

Hardy class | Hausdorff-Young inequality | Mathematics, general | Fourier transform | Poisson integral | Mathematics | Laplace transform | Carlesonmeasure | Radon-Nikodym derivative | MATHEMATICS | Carleson measure

Hardy class | Hausdorff-Young inequality | Mathematics, general | Fourier transform | Poisson integral | Mathematics | Laplace transform | Carlesonmeasure | Radon-Nikodym derivative | MATHEMATICS | Carleson measure

Journal Article

Analysis and PDE, ISSN 2157-5045, 2018, Volume 12, Issue 3, pp. 605 - 720

We prove that for any homogeneous, second-order, constant complex coefficient elliptic system L in R-n, the Dirichlet problem in R-+(n) with boundary data in...

Carleson measure | Nontangential pointwise trace | Quantitative characterization of VMO | Morrey-Campanato space | Fatou-type theorem | Holder space | VMO dirichlet problem | Lamé system | Poisson kernel | Second-order elliptic system | Square function | BMO dirichlet problem | Boundedness of calderón-zygmund operators on VMO | Vanishing carleson measure | Dense subspaces of VMO | Hardy space | MATHEMATICS, APPLIED | vanishing Carleson measure | POISSON INTEGRALS | LIPSCHITZ-DOMAINS | boundedness of Calderon-Zygmund operators on VMO | MATHEMATICS | VMO Dirichlet problem | second-order elliptic system | Lame system | REGULARITY | OPERATORS | EQUATION | nontangential pointwise trace | square function | UNIQUENESS | BMO Dirichlet problem | dense subspaces of VMO | quantitative characterization of VMO | BOUNDARY

Carleson measure | Nontangential pointwise trace | Quantitative characterization of VMO | Morrey-Campanato space | Fatou-type theorem | Holder space | VMO dirichlet problem | Lamé system | Poisson kernel | Second-order elliptic system | Square function | BMO dirichlet problem | Boundedness of calderón-zygmund operators on VMO | Vanishing carleson measure | Dense subspaces of VMO | Hardy space | MATHEMATICS, APPLIED | vanishing Carleson measure | POISSON INTEGRALS | LIPSCHITZ-DOMAINS | boundedness of Calderon-Zygmund operators on VMO | MATHEMATICS | VMO Dirichlet problem | second-order elliptic system | Lame system | REGULARITY | OPERATORS | EQUATION | nontangential pointwise trace | square function | UNIQUENESS | BMO Dirichlet problem | dense subspaces of VMO | quantitative characterization of VMO | BOUNDARY

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 10/2017, Volume 28, Issue 5, pp. 962 - 975

In this paper, we give characterizations for the Zygmund space in terms of higher order radial derivatives of holomorphic function on the unit ball of CN,...

Zygmund spaces | Gleason’s problem | Carleson measure

Zygmund spaces | Gleason’s problem | Carleson measure

Journal Article

Journal of Convex Analysis, ISSN 0944-6532, 2013, Volume 20, Issue 3, pp. 763 - 811

In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by...

Banach spaces | Carleson measures | Uniformly convex | BMO | Bessel operators | Uniformly smooth | MARTINGALES | EXPANSIONS | LITTLEWOOD | LAGUERRE | HARDY-SPACES | MULTIPLIERS | uniformly smooth | TRANSPLANTATION | uniformly convex | MATHEMATICS | HANKEL TRANSFORM | VALUES | OPERATORS

Banach spaces | Carleson measures | Uniformly convex | BMO | Bessel operators | Uniformly smooth | MARTINGALES | EXPANSIONS | LITTLEWOOD | LAGUERRE | HARDY-SPACES | MULTIPLIERS | uniformly smooth | TRANSPLANTATION | uniformly convex | MATHEMATICS | HANKEL TRANSFORM | VALUES | OPERATORS

Journal Article

Advances in Mathematics, ISSN 0001-8708, 03/2016, Volume 291, pp. 183 - 227

This paper studies the operator-valued Hardy spaces introduced and studied by Tao Mei. Our principal result shows that the Poisson kernel in Mei's definition...

Characterizations | Noncommutative [formula omitted]-spaces | Square functions | Operator-valued Hardy spaces | BMO | Quantum tori | Calderón–Zygmund operators | Poisson integral | Carleson measures | Calderón-Zygmund operators | spaces | Noncommutative L | MARTINGALES | Noncommutative L-P-spaces | MATHEMATICS | Calderon-Zygmund operators | NONCOMMUTATIVE BURKHOLDER/ROSENTHAL INEQUALITIES | TRANSFORMS

Characterizations | Noncommutative [formula omitted]-spaces | Square functions | Operator-valued Hardy spaces | BMO | Quantum tori | Calderón–Zygmund operators | Poisson integral | Carleson measures | Calderón-Zygmund operators | spaces | Noncommutative L | MARTINGALES | Noncommutative L-P-spaces | MATHEMATICS | Calderon-Zygmund operators | NONCOMMUTATIVE BURKHOLDER/ROSENTHAL INEQUALITIES | TRANSFORMS

Journal Article

INDAGATIONES MATHEMATICAE-NEW SERIES, ISSN 0019-3577, 10/2017, Volume 28, Issue 5, pp. 962 - 975

In this paper, we give characterizations for the Zygmund space in terms of higher order radial derivatives of holomorphic function on the unit ball of C-N,...

MATHEMATICS | Carleson measure | BLOCH SPACE | Gleason's problem | C-N | INTEGRAL OPERATOR | Zygmund spaces

MATHEMATICS | Carleson measure | BLOCH SPACE | Gleason's problem | C-N | INTEGRAL OPERATOR | Zygmund spaces

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2012, Volume 140, Issue 7, pp. 2429 - 2440

Arcozzi, Rochberg, Sawyer and Wick obtained a characterization of the holomorphic functions b T_{b}(f,g)= \int _{\D }(I+R)(fg)(z) \overline {(I+R)b(z)}dv(z)...

Mathematics | Mathematical functions | Mathematical theorems | Analytic functions | Sobolev spaces | Jovian satellites | Carleson measures | Dirichlet spaces | MATHEMATICS | MATHEMATICS, APPLIED | Potential theory (Mathematics) | Teoria d'operadors | Teoria del potencial (Matemàtica) | Operadors lineals | Operator theory | Linear operators

Mathematics | Mathematical functions | Mathematical theorems | Analytic functions | Sobolev spaces | Jovian satellites | Carleson measures | Dirichlet spaces | MATHEMATICS | MATHEMATICS, APPLIED | Potential theory (Mathematics) | Teoria d'operadors | Teoria del potencial (Matemàtica) | Operadors lineals | Operator theory | Linear operators

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 01/2006, Volume 230, Issue 1, pp. 78 - 115

This paper characterizes the so-called Möbius invariant Q spaces in terms of Carleson-type measures, boundary values, inner factors and absolute values of...

spaces | Boundary values | Carleson-type measures | Weights | Inner/outer functions

spaces | Boundary values | Carleson-type measures | Weights | Inner/outer functions

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 8/2015, Volume 9, Issue 6, pp. 1269 - 1286

Some characterizations of the so-called Dirichlet-type spaces $$D(\mu )$$ D ( μ ) are given. First we characterize $$D(\mu )$$ D ( μ ) by means of the...

Dirichlet-type spaces | Characterizations | Operator Theory | Decomposition theorem | Analysis | Secondary 30D50 | Mathematics, general | Mathematics | Primary 30D45 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | CARLESON MEASURES | PROPERTY | Q(K) SPACES | OPERATORS

Dirichlet-type spaces | Characterizations | Operator Theory | Decomposition theorem | Analysis | Secondary 30D50 | Mathematics, general | Mathematics | Primary 30D45 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | CARLESON MEASURES | PROPERTY | Q(K) SPACES | OPERATORS

Journal Article

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