A new formula for the \(L^p\) norm

DOI10.1016/j.jfa.2021.109075zbMath1476.46042arXiv2102.09657OpenAlexW3159637771MaRDI QIDQ831120

Po-Lam Yung, Qingsong Gu

Publication date: 10 May 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09657

zbMATH Keywords

fractional Sobolev spaceBourgain-Brezis-Mironescu formulaMaz'ya-Shaposhnikova formulaweak-\( L^p\) space

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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• Classical Fourier Analysis
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