Boundedness criteria for linear and multilinear fractional integral operators in Lorentz spaces

MaRDI QIDQ6606349

Alexander Meskhi, Lazare Natelashvili

Publication date: 16 September 2024

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

zbMATH Keywords

Lorentz spacesgrowth conditionnon-doubling measuremultilinear fractional integral operator

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) Fractional derivatives and integrals (26A33) Operator theory (47-XX) Harmonic analysis on Euclidean spaces (42-XX)

Cites Work

• Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
• On the boundedness of multilinear fractional integral operators
• The Hardy space \(H^1\) with non-doubling measures and their applications
• The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of non-homogeneous type
• On L(p,q) spaces
• On multilinear fractional integrals
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• Boundedness properties of fractional integral operators associated to non-doubling measures
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