Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials

DOI10.2969/jmsj/06520633zbMath1269.31005OpenAlexW2014274429MaRDI QIDQ2376001

Tetsu Shimomura, Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano

Publication date: 26 June 2013

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1366896646

zbMATH Keywords

Littlewood-Paley theoryvariable exponentsMusielak-Orlicz spacesRiesz potentialsGagliardo-Nirenberg inequality

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) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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