Characterization of generalized Orlicz spaces

DOI10.1142/S0219199718500797zbMath1454.46033arXiv1612.04566MaRDI QIDQ5109822

Ana Margarida Ribeiro, Rita Ferreira, Peter A. Hästö

Publication date: 13 May 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04566

zbMATH Keywords

Sobolev spaceOrlicz spacePoincaré inequalityvariable exponentMusielak-Orlicz spaces

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)

Related Items (7)

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Fuglede's theorem in generalized Orlicz-Sobolev spaces ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ Bourgain-Brezis-Mironescu domains ⋮ On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

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