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by Liu, HW and Wang, KC
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
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2017, Volume 19, Issue 4, pp. 967 - 981
Journal Article
Acta Mathematica Sinica, Chinese Series, ISSN 0583-1431, 09/2016, Volume 59, Issue 5, pp. 577 - 584
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 1/2017, Volume 27, Issue 1, pp. 842 - 867
Journal Article
by Hao, YY and Li, PT and Zhao, K
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
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
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
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
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
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
Journal Article
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
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
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
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
Journal Article
Advances in Mathematics, ISSN 0001-8708, 03/2016, Volume 291, pp. 183 - 227
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
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
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
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
Journal Article
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