Interpolation inequalities for maximal functions that measure smoothness

DOI10.1090/S1061-0022-2013-01241-6zbMath1275.26029OpenAlexW1999325562MaRDI QIDQ2849059

E. E. Lokharu

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01241-6

zbMATH Keywords

Sobolev spacesmaximal functionsinterpolation inequalities

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces

Cites Work

• Gagliardo--Nirenberg inequality for maximal functions measuring smoothness
• Proprietà di alcune classi di funzioni in più variabili
• A partial regularity result for a class of stationary Yang-Mills fields in high dimension.
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• \(H^p\) spaces of several variables
• Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
• Maximal functions measuring smoothness
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Sobolev type inequalities for p>0
• Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces
• GAGLIARDO–NIRENBERG INEQUALITIES WITH A BMO TERM
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
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