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Journal of functional analysis, ISSN 0022-1236, 2008, Volume 255, Issue 10, pp. 2760 - 2809
Let s ∈ R , τ ∈ [ 0 , ∞ ) , p ∈ ( 1 , ∞ ) and q ∈ ( 1 , ∞ ] . In this paper, we introduce a new class of function spaces F ˙ p , q s , τ ( R n... 
Triebel–Lizorkin space | Q space | Tent space | Capacity | Dual space | Calderón reproducing formula | Triebel-Lizorkin space | MATHEMATICS | THEOREMS | Calderon reproducing formula | DECOMPOSITION | Questions and answers
Journal Article
Mathematische Zeitschrift, ISSN 1432-1823, 2009, Volume 265, Issue 2, pp. 451 - 480
Journal Article
Forum mathematicum, ISSN 1435-5337, 2011, Volume 25, Issue 4, pp. - - -
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2015, Volume 367, Issue 1, pp. 121 - 189
Classical and nonclassical Besov and Triebel-Lizorkin spaces with complete range of indices are developed in the general setting of Dirichlet space with a doubling measure and local scale-invariant Poincaré inequality... 
Heat kernel | Frames | Triebel-Lizorkin spaces | Besov spaces | Functional calculus | MATHEMATICS | WEIGHTED TRIEBEL-LIZORKIN | functional calculus | frames | BESOV-SPACES | HARDY-SPACES | LOCALIZED POLYNOMIAL FRAMES | OPERATORS | Probability | Mathematics
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 10/2019, Volume 293, Issue 1, pp. 221 - 258
.... The class of multipliers that we consider involves Herz spaces $$K_u^{s,t}$$ K u s , t . Plancherel’s theorem proves $$\widehat{L_s^2}=K_2^{s,2}$$ L s 2 ^ = K 2 s , 2 and we study the optimal triple... 
Fourier multipliers | Mathematics, general | Mathematics | Hörmander–Mikhlin multipliers | Triebel–Lizorkin spaces | MATHEMATICS | Triebel-Lizorkin spaces | OPERATORS | Hormander-Mikhlin multipliers
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 02/2019, Volume 179, pp. 72 - 90
We study complex interpolation of variable Triebel–Lizorkin spaces, especially we present the complex interpolation of Fp... 
Variable exponents | Complex interpolation | Triebel–Lizorkin spaces | MATHEMATICS | MATHEMATICS, APPLIED | Triebel-Lizorkin spaces | BESOV | SMOOTHNESS | EXPONENT | Interpolation | Nonlinear equations | Partial differential equations | Analysis
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 01/2020, Volume 293, Issue 1, pp. 120 - 128
In this article, we study the relation between Sobolev‐type embeddings for Sobolev spaces or Hajłasz–Besov spaces or Hajłasz–Triebel... 
Hajłasz–Sobolev space | 42B35 | 46E35 | Hajłasz–Besov space | Hajłasz–Triebel–Lizorkin space and measure density | MATHEMATICS | Hajlasz-Besov space | Hajlasz-Triebel-Lizorkin space and measure density | Hajlasz-Sobolev space | MEASURE DENSITY
Journal Article
Applicable analysis, ISSN 1563-504X, 2013, Volume 92, Issue 3, pp. 549 - 561
In this article, the authors construct some counterexamples to show that the generalized Carleson measure space and the Triebel-Lizorkin-type space are not equivalent for certain parameters... 
Besov-type space | Secondary: 46E35 | generalized Carleson measure space | Primary: 42B35 | Triebel-Lizorkin-type space | Construction | Equivalence | Mathematical analysis | Lectures
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2009, Volume 256, Issue 6, pp. 1731 - 1768
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2016, Volume 433, Issue 2, pp. 1350 - 1368
... Bℓ,2−kf characterizes the Besov space B˙p,qα(Rn) with q∈(0,∞] and the Triebel–Lizorkin space F˙p,qα(Rn) with q∈(1,∞] when the smoothness order... 
Triebel–Lizorkin space | Difference | Average on ball | Besov space | Calderón reproducing formula | Triebel-Lizorkin space | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | INEQUALITIES | Calderon reproducing formula
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2012, Volume 387, Issue 2, pp. 676 - 690
This paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces with variable exponents. 
Triebel–Lizorkin space | Complex interpolation | Besov space | Atom | Variable Lebesgue spaces | Triebel-Lizorkin space | MATHEMATICS | MATHEMATICS, APPLIED | SMOOTHNESS | Universities and colleges
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 12/2018, Volume 90, Issue 6, pp. 1 - 65
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2020, Volume 484, Issue 1, p. 123712
We introduce variable exponent versions of Morreyfied Triebel-Lizorkin spaces. To that end, we prove an important convolution inequality which is a replacement for the Hardy-Littlewood maximal inequality in the fully variable setting... 
Triebel-Lizorkin-Morrey spaces | Variable exponents | Convolution inequalities | MATHEMATICS | MATHEMATICS, APPLIED | 2-MICROLOCAL BESOV | SMOOTHNESS | OPERATORS | Mathematics - Functional Analysis
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2008, Volume 347, Issue 2, pp. 493 - 501
...–Lizorkin spaces and the Besov spaces. These results answer an open problem proposed by Chen and Zhang in [J. Chen, C... 
Rough singular integral | Triebel–Lizorkin space | Hardy space kernel | Besov space | Triebel-Lizorkin space | MATHEMATICS | MATHEMATICS, APPLIED | rough singular integral | TRANSFORM | OPERATORS | KERNELS
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2017, Volume 449, Issue 2, pp. 1382 - 1412
Homogeneous Besov and Triebel–Lizorkin spaces with complete set of indices are introduced in the general setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel... 
Heat kernel | Homogeneous spaces | Generalized polynomials | Besov spaces | Triebel–Lizorkin spaces | Distributions | MATHEMATICS | MATHEMATICS, APPLIED | Triebel-Lizorkin spaces | DECOMPOSITION | DIRICHLET SPACES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2011, Volume 377, Issue 1, pp. 392 - 405
This paper is concerned with the well-posedness of the Navier–Stokes–Nerst–Planck–Poisson system (NSNPP). Let sp=−2+n/p. We prove that the NSNPP has a unique... 
Triebel–Lizorkin space | Navier–Stokes–Nernst–Planck–Poisson system | Mild solutions | Besov space | Navier-Stokes-Nernst-Planck-Poisson system | Triebel-Lizorkin space | MATHEMATICS | MATHEMATICS, APPLIED | LONG-TIME BEHAVIOR | EQUATIONS | Fluid dynamics
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 4/2019, Volume 29, Issue 2, pp. 1571 - 1582
Journal Article
Monatshefte für Mathematik, ISSN 1436-5081, 2017, Volume 183, Issue 4, pp. 587 - 624
Homogeneous mixed-norm Triebel–Lizorkin spaces are introduced and studied with the use of a discrete wavelet transformation, the so-called $$\varphi $$ φ -transform... 
varphi $$ φ -Transform | 42B35 | Littlewood–Paley decomposition | 42B25 | 42C40 | Mathematics, general | Mathematics | Mixed-norms | Pettis integral | Wavelet decomposition | Triebel–Lizorkin spaces | φ-Transform | DISTRIBUTIONS | MATHEMATICS | Littlewood-Paley decomposition | BASES | phi-Transform | Triebel-Lizorkin spaces | BESOV-SPACES | DECOMPOSITION | OPERATORS | Mathematics - Functional Analysis
Journal Article
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