Integral properties of generalized Bessel potentials

DOI10.1134/S106456240703009XzbMath1168.46016OpenAlexW2331765978MaRDI QIDQ960739

Mikhail L. Goldman

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456240703009x

zbMATH Keywords

embeddingweighted Lorentz spacesBessel potentialsrearrangement invariant hull

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

Estimates for continuity envelopes and approximation numbers of Bessel potentials ⋮ Inversion of Hyperbolic B-Potentials ⋮ Rearrangement invariant envelopes of generalized Bessel and Riesz potentials ⋮ On the cones of rearrangements for generalized Bessel and Riesz potentials ⋮ Optimal embedding of Bessel- and Riesz-type potentials ⋮ Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation

Cites Work

• Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings
• Discretization and anti-discretization of rearrangement-invariant norms
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Uniqueness of the determination of the right-hand side in multidimensional parabolic equations with a final observation
• Convolution operators and L(p, q) spaces
• A sharp embedding theorem for Orlicz-Sobolev spaces