Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means
From MaRDI portal
Publication:607097
DOI10.1016/j.na.2010.08.006zbMath1225.46033OpenAlexW1964095402MaRDI QIDQ607097
Publication date: 19 November 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.08.006
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)
Related Items (42)
Besov-type and Triebel-Lizorkin-type spaces associated with heat kernels ⋮ Generalized Morrey spaces and trace operator ⋮ Non‐smooth atomic decomposition for generalized Orlicz‐Morrey spaces ⋮ Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces ⋮ Regular orthogonal basis on Heisenberg group and application to function spaces ⋮ Wavelets and holomorphic functions ⋮ Equivalent quasi-norms of Besov-Triebel-Lizorkin-type spaces via derivatives ⋮ A trace law for the Hardy-Morrey-Sobolev space ⋮ Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces ⋮ Some intrinsic characterizations of Besov-Triebel-Lizorkin-Morrey-type spaces on Lipschitz domains ⋮ Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Generalized Besov-type and Triebel–Lizorkin-type spaces ⋮ Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications ⋮ Some norm inequalities in Musielak-Orlicz spaces ⋮ An Observation of the Subspaces of $$ \mathcal{S}^{\prime} $$ ⋮ Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators ⋮ A note on weighted Besov-type and Triebel-Lizorkin-type spaces ⋮ Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi)}(G)\) over nondoubling measure spaces ⋮ Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations ⋮ Wavelets and local Triebel–Lizorkin spaces with the Lorentz index ⋮ Characterizations of Besov-type and Triebel-Lizorkin-type spaces by differences ⋮ Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces ⋮ The Haar system in Besov-type spaces ⋮ Weighted Besov spaces with variable exponents ⋮ Some properties of variable Besov-type spaces ⋮ Carleson measures and trace theorem for \(\beta\)-harmonic functions ⋮ Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind ⋮ ON EXTENSION THEOREMS FOR ANISOTROPIC BESOV–MORREY TYPE SPACES ⋮ New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets ⋮ Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Function spaces of Besov-type and Triebel-Lizorkin-type -- a survey ⋮ Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications ⋮ Pointwise and grand maximal function characterizations of Besov-type and Triebel-Lizorkin-type spaces ⋮ Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces ⋮ Besov-type spaces with variable smoothness and integrability ⋮ Embedding properties of weighted Besov-type spaces ⋮ Extension of Besov-Q type spaces via convolution operators with applications ⋮ COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES ⋮ On the coincidence of certain approaches to smoothness spaces related to Morrey spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A discrete transform and decompositions of distribution spaces
- A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
- A note on dyadic Hausdorff capacities
- A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces
- New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces
- Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Some embeddings and equivalent norms of the \({\mathcal L}^{\lambda,s}_{p,q}\) spaces
- New applications of Besov-type and Triebel-Lizorkin-type spaces
- Weighted Hardy spaces
- On spaces of Triebel-Lizorkin type
- Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case \(q<1\)
- Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
- Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
- Some properties of Morrey type Besov-Triebel spaces
- Entropy Numbers and Approximation Numbers in Function Spaces, II
- Q spaces of several real variables
- Some Maximal Inequalities
- Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
- Locally bounded linear topological spaces
- Holomorphic \(Q\) classes
This page was built for publication: Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means