Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

DOI10.1515/MATH-2015-0065zbMath1347.42023OpenAlexW2247747138MaRDI QIDQ317737

Dazhao Chen

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0065

zbMATH Keywords

Orlicz spacessingular integral operatorsBMO spaceToeplitz-type operatorsLipschitz functionRiesz potentialsBochner-Riesz operatorsLittlewood-Paley operatorsMarcinkiewicz 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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

• Multilinear singular integral operators on Triebel-Lizorkin and Lebesgue spaces
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• The continuity of commutators on Triebel-Lizorkin spaces
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• A note on the Marcinkiewicz integral
• Paracommutators-Boundedness and Schatten-Von Neumann Properties
• CONTINUITY FOR COMMUTATORS OF LITTLEWOOD-PALEY OPERATORS ON CERTAIN HARDY SPACES
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• Sharp maximal function estimates and boundedness for commutators associated with general integral operator
• A sharp estimate for multilinear Bochner-Riesz operator
• Sharp weighted endpoint estimates for commutators of singular integrals
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