Quantitative estimates of embedding constants for Gagliardo-Nirenberg inequalities on critical Sobolev-Besov-Lorentz spaces

DOI10.1007/S00041-013-9287-0zbMath1308.46050OpenAlexW1993446298MaRDI QIDQ485186

Hidemitsu Wadade

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-013-9287-0

zbMATH Keywords

Trudinger-Moser inequalityGagliardo-Nirenberg inequalityBesov-Lorentz spaceSobolev-Lorentz space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Fourier transform and regularity of characteristic functions ⋮ Optimal embeddings of critical Sobolev–Lorentz–Zygmund spaces ⋮ Interpolation inequalities in function spaces of Sobolev-Lorentz type ⋮ Gagliardo-Nirenberg inequalities in Lorentz type spaces ⋮ Gagliardo--Nirenberg inequality for generalized Riesz potentials of functions in Musielak--Orlicz spaces over quasi-metric measure spaces

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