A note on Campanato spaces and their applications

DOI10.1134/S0001434618030148zbMath1428.42044OpenAlexW2800931184WikidataQ129960247 ScholiaQ129960247MaRDI QIDQ722160

Jiang Zhou, Zhi-Dong Teng, Dinghuai Wang

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618030148

zbMATH Keywords

characterizationcommutatorsCampanato spacesJohn-Nirenberg inequalitybilinear fractional integral operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (7)

New function classes of Morrey-Campanato type and their applications ⋮ A note on the boundedness of iterated commutators of multilinear operators ⋮ The factorization of \(H^\rho (\mathbb{R}^n)\) via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces ⋮ The necessity theory for commutators of multilinear singular integral operators: the weighted case ⋮ Sharp bounds for multilinear fractional integral operators on Morrey type spaces: the endpoint cases ⋮ CHARACTERIZATIONS OF BMO AND LIPSCHITZ SPACES IN TERMS OF WEIGHTS AND THEIR APPLICATIONS ⋮ A characterization of weighted central Campanato spaces

Cites Work

• Generalized Morrey spaces for non-doubling measures
• The Navier-Stokes equations in the critical Morrey-Campanato space
• Mean oscillation and commutators of singular integral operators
• Multilinear estimates and fractional integration
• Necessary and sufficient conditions for boundedness of commutators of fractional integral operators on classical Morrey spaces
• Maximal functions measuring smoothness
• On multilinear fractional integrals
• Some remarks on multilinear maps and interpolation
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