Morrey-type space and its Köthe dual space

DOI10.1007/s40840-016-0382-7zbMath1393.42007OpenAlexW2396690910MaRDI QIDQ723591

Yoshihiro Sawano, Hitoshi Tanaka, Mieczyslaw Mastylo

Publication date: 24 July 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0382-7

zbMATH Keywords

Komlós theoremMorrey spaceFatou propertyKöthe dual spaceblock space

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Multipliers in one variable harmonic analysis (42A45)

Related Items (18)

Nontriviality of Riesz–Morrey spaces ⋮ The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality ⋮ Muckenhoupt-type conditions on weighted Morrey spaces ⋮ Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces ⋮ Bourgain-Morrey spaces meet structure of Triebel-Lizorkin spaces ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Extrapolation in general quasi-Banach function spaces ⋮ Preduals of Sobolev multiplier spaces for end point cases ⋮ Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces ⋮ Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ A bridge connecting Lebesgue and Morrey spaces via Riesz norms ⋮ Unnamed Item ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ A predual of a predual of \(B_\sigma\) and its applications to commutators ⋮ Boundedness of commutators of \(\theta\)-type Calderón-Zygmund operators on generalized weighted Morrey spaces over RD-spaces ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ Characterizations of predual spaces to a class of Sobolev multiplier type spaces

Cites Work

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• Integral operators on \(B_\sigma\)-Morrey-Campanato spaces
• Morrey spaces in harmonic analysis
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• A note on dyadic Hausdorff capacities
• Dual Morrey spaces
• New pre-dual space of Morrey space
• FATOU PROPERTY OF PREDUAL MORREY SPACES WITH NON-DOUBLING MEASURES
• Morrey Space
• Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator
• Mock Morrey spaces
• A generalization of a problem of Steinhaus
• Nonlinear potential analysis on Morrey spaces and their capacities

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