Characterizations of Sobolev spaces associated to operators satisfying off‐diagonal estimates on balls

DOI10.1002/mma.4206zbMath1378.46028OpenAlexW2539475277MaRDI QIDQ5348971

Junqiang Zhang, Da Chun Yang, Der-Chen E. Chang

Publication date: 22 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4206

zbMATH Keywords

Sobolev spacedegenerate elliptic operatorquadratic functionMuckenhoupt weightSchrödinger-type operatormetric measure space of homogeneous typeoperator of type \(\omega\)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Functional calculus for linear operators (47A60) Linear operators on function spaces (general) (47B38) Schrödinger and Feynman-Kac semigroups (47D08) Analysis on metric spaces (30L99)

Related Items (4)

Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces ⋮ Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ \(L^p\)-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on \(\mathbb{R}^n\)

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