ENDPOINT ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS

DOI10.1017/S1446788708000724zbMath1153.42008OpenAlexW2129683497MaRDI QIDQ3533822

Lin Tang

Publication date: 24 October 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000724

zbMATH Keywords

Morrey spacemultilinear fractional integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Related Items

Endpoint estimates for generalized multilinear fractional integrals on the non-homogeneous metric spaces, Bounds for multilinear operators under an integral type condition on Morrey spaces, ENDPOINT ESTIMATES FOR MULTILINEAR FRACTIONAL MAXIMAL OPERATORS, Boundedness for the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, Sharp bounds for multilinear fractional integral operators on Morrey type spaces, Limiting weak type behavior for multilinear fractional integrals, Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces, On sharp Olsen's and trace inequalities for multilinear fractional integrals, Sharp bounds for multilinear fractional integral operators on Morrey type spaces: the endpoint cases, Notes on endpoint estimates for multilinear fractional integral operators, Characterizations of the BMO and Lipschitz spaces via commutators on weak Lebesgue and Morrey spaces, Multilinear singular and fractional integral operators on weighted Morrey spaces, Endpoint estimates for multilinear fractional integrals with non-doubling measures, Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition, Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents, Fractional integral operators on Borel-Morrey spaces with q ≤ p, Multilinear fractional integrals on Morrey spaces, The Riesz potential as a multilinear operator into general \(\text{BMO}_{\beta}\) spaces, Modulation space estimates for the fractional integral operators, Boundedness and compactness for the commutators of bilinear operators on Morrey spaces

Cites Work

• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
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