Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
From MaRDI portal
Publication:2458872
DOI10.1007/s00209-007-0150-3zbMath1133.42041OpenAlexW2081946416MaRDI QIDQ2458872
Yoshihiro Sawano, Hitoshi Tanaka
Publication date: 5 November 2007
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-007-0150-3
Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (93)
Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ Extrapolation to product Herz spaces and some applications ⋮ Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents ⋮ Several equivalent characterizations of fractional Hajłasz-Morrey-Sobolev spaces ⋮ Besov-type and Triebel-Lizorkin-type spaces associated with heat kernels ⋮ Interpolation of generalized Morrey spaces ⋮ Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents ⋮ Generalized Morrey spaces and trace operator ⋮ Smoothness Morrey spaces of regular distributions, and some unboundedness property ⋮ Non‐smooth atomic decomposition for generalized Orlicz‐Morrey spaces ⋮ A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces ⋮ Intrinsic atomic and molecular decompositions of Hardy-Musielak-Orlicz spaces ⋮ Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces ⋮ Atomic decomposition of Hardy-Morrey spaces with variable exponents ⋮ Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces ⋮ Local and global solvability for Keller-Segel system in Besov-Morrey spaces ⋮ Equivalent quasi-norms of Besov-Triebel-Lizorkin-type spaces via derivatives ⋮ Complex interpolation of grand Lebesgue spaces ⋮ Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces ⋮ Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means ⋮ Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces ⋮ Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains ⋮ Interpolation of Morrey-Campanato and related smoothness spaces ⋮ Elliptic equations with discontinuous coefficients in generalized Morrey spaces ⋮ Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces ⋮ 2-microlocal spaces associated with 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 ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ Parabolic fractional maximal operator in modified parabolic Morrey spaces ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical Besov-Morrey spaces ⋮ Triebel–Lizorkin–Morrey spaces and differences ⋮ Complex interpolation of smoothness Morrey subspaces ⋮ The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application ⋮ Fourier transform decay of distributions in Hardy-Morrey spaces ⋮ Fourier multipliers on Triebel-Lizorkin-type spaces ⋮ Local theory for 2‐microlocal Besov and Triebel–Lizorkin spaces of Jaffard type ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Morrey smoothness spaces: a new approach ⋮ Complex interpolation of various subspaces of Morrey spaces ⋮ Atomic decompositions of martingale Hardy-Morrey spaces ⋮ Some norm inequalities in Musielak-Orlicz spaces ⋮ BESOV-TYPE SPACES AND DIFFERENCES ⋮ Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi)}(G)\) over nondoubling measure spaces ⋮ Spatial analyticity of solutions to the drift-diffusion equation with generalized dissipation ⋮ Vector-valued maximal inequalities on weighted Orlicz-Morrey spaces ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Unnamed Item ⋮ Wavelets and local Triebel–Lizorkin spaces with the Lorentz index ⋮ Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces ⋮ On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space ⋮ Compact embeddings of weighted smoothness spaces of Morrey type: An example ⋮ Compact embeddings in Besov-type and Triebel-Lizorkin-type spaces on bounded domains ⋮ Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation ⋮ Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces ⋮ Triebel-Lizorkin-Morrey spaces associated to Hermite operators ⋮ Generalized Morrey spaces -- revisited ⋮ Unboundedness properties of smoothness Morrey spaces of regular distributions on domains ⋮ Complex interpolation for predual spaces of Morrey-type spaces ⋮ Calderón's first and second complex interpolations of closed subspaces of Morrey spaces ⋮ Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind ⋮ Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces ⋮ ON EXTENSION THEOREMS FOR ANISOTROPIC BESOV–MORREY TYPE SPACES ⋮ Continuous embeddings of Besov-Morrey function spaces ⋮ New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type ⋮ Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Embedding properties of Besov-type spaces ⋮ Singular integral operator, Hardy-Morrey space estimates for multilinear operators and Navier-Stokes equations ⋮ Function spaces of Besov-type and Triebel-Lizorkin-type -- a survey ⋮ Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications ⋮ Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications ⋮ Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces on domains ⋮ Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains ⋮ Littlewood-Paley characterizations of Triebel-Lizorkin-Morrey spaces via ball averages ⋮ Complex interpolation of Besov-type spaces on domains ⋮ Well-posedness of the Euler equation in Triebel–Lizorkin–Morrey spaces ⋮ Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation ⋮ On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces ⋮ Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces ⋮ Decomposition of Hardy--Morrey spaces ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures ⋮ New applications of Besov-type and Triebel-Lizorkin-type spaces ⋮ Embedding properties of weighted Besov-type spaces ⋮ Some embeddings of Morrey spaces with critical smoothness ⋮ On the equivalence of the \(K\)-functional and the modulus of continuity on the Morrey spaces ⋮ Fractional Hajłasz–Morrey–Sobolev spaces on quasi-metric measure spaces ⋮ COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES ⋮ Triebel-Lizorkin type spaces with variable exponents ⋮ Littlewood-Paley theory for Morrey spaces and their preduals ⋮ Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A discrete transform and decompositions of distribution spaces
- Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
- A constructive proof of the Fefferman-Stein decomposition of BMO(R**n)
- Morrey spaces for non-doubling measures
- On the wave equation with a large rough potential
- Some properties of Morrey type Besov-Triebel spaces
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Besov-Morrey spaces: Function space theory and applications to non-linear PDE
- Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
This page was built for publication: Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces