Norms of embeddings of logarithmic Bessel potential spaces

DOI10.1090/S0002-9939-98-04327-5zbMath0895.46020MaRDI QIDQ4396429

Petr Gurka, Bohumír Opic, David E. Edmunds

Publication date: 14 June 1998

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

zbMATH Keywords

embeddingsYoung functionequivalent normsgeneralized Lorentz-Zygmund spaceslogarithmic Bessel potential spacesOrlicz spaces of double and single exponential types

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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Generalized Moser-Trudinger inequality for unbounded domains and its application ⋮ Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains ⋮ Extrapolation estimates for entropy numbers ⋮ Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities ⋮ A sharp form of an embedding into exponential and double exponential spaces. ⋮ Exponential Rosenthal and Marcinkiewicz - Zygmund inequalities ⋮ Exponential probabilistic inequalities ⋮ Exponential integrability of martingales ⋮ On generalized Moser-Trudinger inequalities without boundary condition ⋮ Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces ⋮ Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces ⋮ A sharp form of an embedding into multiple exponential spaces ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES ⋮ Bergman projections, Berezin transforms and Cauchy transform on exponential Orlicz spaces and Lorentz-Zygmund spaces ⋮ Double-exponential embeddings of logarithmic spaces ⋮ Moser-type trace inequalities for generalized Lorentz-Sobolev spaces

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