Complex interpolation for predual spaces of Morrey-type spaces

DOI10.11650/tjm.18.2014.4373zbMath1357.46018OpenAlexW2012668384MaRDI QIDQ514774

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.4373

zbMATH Keywords

Besov spaceMorrey spacescomplex interpolationTriebel-Lizorkin spaceHausdorff capacityCalderón productquasi-Banach lattice

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

Related Items (8)

Interpolation of generalized Morrey spaces ⋮ Complex interpolation of variable Morrey spaces ⋮ Complex interpolation of various subspaces of Morrey spaces ⋮ Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces ⋮ Calderón's first and second complex interpolations of closed subspaces of Morrey spaces ⋮ Complex interpolation of predual spaces of general local Morrey-type spaces ⋮ Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains ⋮ Complex interpolation of the predual of Morrey spaces over measure spaces

Cites Work

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• Calderón-Zygmund operators in Morrey spaces
• Morrey spaces in harmonic analysis
• A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
• Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces
• New applications of Besov-type and Triebel-Lizorkin-type spaces
• New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
• Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
• Duality and interpolation of anisotropic Triebel-Lizorkin spaces
• Besov-Morrey spaces: Function space theory and applications to non-linear PDE
• Interpolation spaces by complex methods
• Nonlinear potential analysis on Morrey spaces and their capacities

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