Duality of weighted anisotropic Besov and Triebel-Lizorkin spaces
From MaRDI portal
Publication:1928544
DOI10.1007/s11117-011-0119-7zbMath1260.46025OpenAlexW2162982366MaRDI QIDQ1928544
Wen Yuan, Baode Li, Marcin Bownik, Da Chun Yang
Publication date: 3 January 2013
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-011-0119-7
Muckenhoupt weightsdual spacesanisotropic weighted Besov spacesanisotropic weighted Triebel-Lizorkin spaces
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items
Hardy-Hausdorff spaces on the Heisenberg group ⋮ Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces ⋮ New molecular characterizations of anisotropic Musielak-Orlicz Hardy spaces and their applications ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ Anisotropic variable Hardy-Lorentz spaces and their real interpolation ⋮ Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Duals of Besov and Triebel-Lizorkin spaces associated with operators ⋮ Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. I ⋮ Note on duality of weighted multi-parameter Triebel-Lizorkin spaces ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted Besov and Triebel spaces: Interpolation by the real method
- A discrete transform and decompositions of distribution spaces
- Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I
- 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
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- New applications of Besov-type and Triebel-Lizorkin-type spaces
- Weighted norm inequalities for maximal operators and Pisier's theorem on factorization through \(L^{p{\infty}}\)
- Parabolic maximal functions associated with a distribution
- Parabolic maximal functions associated with a distribution. II
- An atomic decomposition of distributions in parabolic \(H^p\) spaces
- Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
- Littlewood-Paley characterization and duality of weighted anisotropic product Hardy spaces
- A wavelet characterization for weighted Hardy spaces
- Anisotropic Triebel-Lizorkin spaces with doubling measures
- Duality and interpolation of anisotropic Triebel-Lizorkin spaces
- Atomic and molecular decompositions of anisotropic Besov spaces
- Affine and quasi-affine frames for rational dilations
- Classical Fourier Analysis
- Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
- Weighted anisotropic product Hardy spaces and boundedness of sublinear operators
- Traces of functions with a dominating mixed derivative in ℝ3
- Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
- A wavelet characterization for the dual of weighted Hardy spaces
- Extensions of Hardy spaces and their use in analysis
- Anisotropic Hardy spaces and wavelets
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Q spaces of several real variables
- Duality of matrix-weighted Besov spaces
- A Discrete Transform and Triebel-Lizorkin Spaces on the BIDISC
- Function spaces with dominating mixed smoothness
- Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1
- Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
- Wavelet characterization of weighted spaces
