A note on vanishing Morrey \(\rightarrow\) VMO result for fractional integrals of variable order

DOI10.1515/fca-2020-0013zbMath1453.46023OpenAlexW3008093624MaRDI QIDQ2176147

Humberto Rafeiro, Stefan G. Samko

Publication date: 4 May 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2020-0013

zbMATH Keywords

BMOVMOfractional integralMorrey spacesRiesz potentialvariable exponent

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) Harmonic analysis on homogeneous spaces (43A85)

Related Items (6)

Dual spaces of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Addendum to “On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space”, Math Meth Appl Sci. 2020; 1–8 ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ Characterizations of variable martingale Hardy spaces via maximal functions ⋮ Fractional operators from vanishing Morrey to vanishing Campanato spaces in the variable exponent setting on quasi-metric measure spaces ⋮ Anisotropic variable Campanato-type spaces and their Carleson measure characterizations

Cites Work

• Fractional integration and differentiation of variable order: an overview
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• BMO-VMO results for fractional integrals in variable exponent Morrey spaces
• A note on Riesz fractional integrals in the limiting case \(\alpha(x)p(x) \equiv n\)
• Remark to the paper of S. Samko ``A note on Riesz fractional integrals in the limiting case \(\alpha(x)p(x) \equiv n\)
• Fractional integrals and derivatives: mapping properties
• Fractional integration operators of variable order: continuity and compactness properties
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