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Dirichlet semigroups on bounded domains

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Publication:1055687
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DOI10.1216/RMJ-1982-12-2-283zbMath0521.47021OpenAlexW2015727044MaRDI QIDQ1055687

James G. Hooton

Publication date: 1982

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1982-12-2-283


zbMATH Keywords

Sobolev spacelogarithmic Sobolev inequalityOrlicz spaceDirichlet from hypercontractive semigroup


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) Groups and semigroups of linear operators (47D03)


Related Items (4)

Compact Sobolev imbeddings on finite measure spaces ⋮ Capacity and quantum mechanical tunneling ⋮ Schrödinger semigroups ⋮ Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians




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