Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent

DOI10.1007/s12215-010-0034-yzbMath1206.42011OpenAlexW2048475406MaRDI QIDQ619616

Mitsuo Izuki

Publication date: 25 January 2011

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0034-y

zbMATH Keywords

BMOfractional integralcommutatorHerz space with variable exponent

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (27)

Estimates of fractional integral operators on variable exponent Lebesgue spaces ⋮ Boundedness of rough singular integral operators and commutators on Morrey-Herz spaces with variable exponents ⋮ Higher order commutators of fractional integral operator on the homogeneous Herz spaces with variable exponent ⋮ Fractional operators and their commutators on generalized Orlicz spaces ⋮ Boundedness for higher order commutators of fractional integrals on variable exponent Herz-Morrey spaces ⋮ Boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue spaces and Morrey-Herz spaces with variable exponents ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ Parametrized Marcinkiewicz integrals on Herz spaces with variable exponents ⋮ The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent ⋮ Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces ⋮ On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey-type spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Marcinkiewicz integral operators and commutators on Herz spaces with variable exponents ⋮ Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent ⋮ Hardy spaces associated to critical Herz spaces with variable exponent ⋮ Rough fractional integrals and its commutators on variable Morrey spaces ⋮ Unnamed Item ⋮ Boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents ⋮ Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents ⋮ Two weighted Herz spaces with variable exponents ⋮ On multilinear commutators of Marcinkiewicz integrals in variable exponent Lebesgue and Herz type spaces ⋮ Weighted norm inequality for bilinear Calderón-Zygmund operators on Herz-Morrey spaces with variable exponents ⋮ Multilinear commutators of singular integral operators in variable exponent Herz-type spaces ⋮ Lipschitz estimates for fractional multilinear singular integral on variable exponent Lebesgue spaces ⋮ Parametrized Littlewood-Paley operators on grand variable Herz spaces ⋮ Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents

Cites Work

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• Boundedness of commutators on Herz spaces with variable exponent
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• The continuity of commutators on Herz-type spaces
• Endpoint estimates and weighted norm inequalities for commutators of fractional integrals
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Boundedness of some sublinear operators on Herz spaces
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Necessary and sufficient conditions for boundedness of commutators of fractional integral operators on classical Morrey spaces
• Infimal convolution and Muckenhoupt \(A_{p(\cdot)}\) condition in variable \(L^p\) spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Interpolation of Herz Spaces and Applications
• CONTINUITY OF COMMUTATORS ON WEIGHTED HERZ-TYPE SPACES
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications

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