Fractional integral operators between Banach function lattices

DOI10.1016/j.na.2015.01.014zbMath1366.42015OpenAlexW2008625218MaRDI QIDQ2018529

Vakhtang Kokilashvili, Alexander Meskhi, Mieczyslaw Mastylo

Publication date: 24 March 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.01.014

zbMATH Keywords

Marcinkiewicz spacesLorentz spacesfractional integral operatorsnon-doubling measure

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) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (1)

Existence results for some fractional differential equations related to A ∈ B(L2[a, b)]

Cites Work

• A function parameter in connection with interpolation of Banach spaces.
• Boundedness properties of fractional integral operators associated to non-doubling measures
• Sharp Weighted Bounds for Fractional Integral Operators in a Space of Homogeneous Type
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