Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures

DOI10.1002/mana.200610818zbMath1184.42019OpenAlexW2102662984MaRDI QIDQ3655601

Hitoshi Tanaka, Yoshihiro Sawano

Publication date: 8 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610818

zbMATH Keywords

Besov-Morrey spaceTriebel-Lizorkin-Morrey spacenondoubling measure

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (34)

Interpolation of generalized Morrey spaces ⋮ Generalized Morrey spaces and trace operator ⋮ Smoothness Morrey spaces of regular distributions, and some unboundedness property ⋮ Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces ⋮ Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces ⋮ Complex interpolation of grand Lebesgue spaces ⋮ Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains ⋮ Interpolation of Morrey-Campanato and related smoothness spaces ⋮ Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces ⋮ 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 ⋮ Some characterizations of upper doubling conditions on metric measure spaces ⋮ Morrey smoothness spaces: a new approach ⋮ Complex interpolation of various subspaces of Morrey spaces ⋮ Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi)}(G)\) over nondoubling measure spaces ⋮ Compact embeddings of weighted smoothness spaces of Morrey type: An example ⋮ Compact embeddings in Besov-type and Triebel-Lizorkin-type spaces on bounded domains ⋮ Triebel-Lizorkin-Morrey spaces associated to Hermite operators ⋮ Unboundedness properties of smoothness Morrey spaces of regular distributions on domains ⋮ Calderón's first and second complex interpolations of closed subspaces of Morrey spaces ⋮ Continuous embeddings of Besov-Morrey function spaces ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Embedding properties of Besov-type spaces ⋮ Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications ⋮ Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains ⋮ Littlewood-Paley theory on metric spaces with non doubling measures and its applications ⋮ 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 ⋮ Embedding properties of weighted Besov-type spaces ⋮ Some embeddings of Morrey spaces with critical smoothness ⋮ COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES ⋮ 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
• A discrete transform and decompositions of distribution spaces
• Predual spaces of Morrey spaces with non-doubling measures
• Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces
• Painlevé's problem and the semiadditivity of analytic capacity.
• Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
• Limiting case of the boundedness of fractional integral operators on nonhomogeneous space
• Sharp maximal inequalities and commutators on Morrey spaces with non-doubling measures
• Bilipschitz maps, analytic capacity, and the Cauchy integral
• Morrey spaces for non-doubling measures
• Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
• Some properties of Morrey type Besov-Triebel spaces
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Besov spaces with non-doubling measures
• Equivalent norms for the Morrey spaces with non-doubling measures
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• Triebel–Lizorkin spaces with non-doubling measures
• The John–Nirenberg type inequality for non-doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

This page was built for publication: Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures