The continuity of commutators on Herz-type Hardy spaces with variable exponent

DOI10.1215/21562261-3600175zbMath1348.42014OpenAlexW2511333069MaRDI QIDQ318156

Hongbin Wang

Publication date: 4 October 2016

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

Full work available at URL: https://projecteuclid.org/euclid.kjm/1471872281

zbMATH Keywords

Marcinkiewicz integral operatorscommutatorsHerz-type Hardy spacesLipschitz functionsvariable exponentsfractional integral operatorsCalderón-Zygmund singular integral operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (8)

Unnamed Item ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ Estimates of commutators on Herz-type spaces with variable exponent and applications ⋮ On \(n\)-dimensional fractional Hardy operators and commutators in variable Herz-type spaces ⋮ Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents ⋮ Boundedness of singular integral operators on Herz-Morrey spaces with variable exponent ⋮ Multilinear fractional integral operators on central Morrey spaces with variable exponent ⋮ Weak type estimates of commutators on Herz type spaces with variable exponent

Cites Work

• Unnamed Item
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Fractional integrals on Herz-Morrey spaces with variable exponent
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• The Herz-type Hardy spaces with variable exponent and their applications
• Boundedness of commutators on Hardy type spaces
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

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