Weighted spaces and weighted norm inequalities on irregular domains

DOI10.1016/j.jat.2012.12.002zbMath1271.46029OpenAlexW2050473238MaRDI QIDQ1944305

Loredana Caso, Roberta D'Ambrosio

Publication date: 5 April 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.12.002

zbMATH Keywords

weighted Sobolev spacesweight functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Widths of Sobolev weight classes on a domain with cusp ⋮ On the maximum principle for elliptic operators in weighted spaces ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ Widths of function classes on sets with tree-like structure ⋮ ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero ⋮ \(W^{2, p}\)-solvability of the Dirichlet problem for elliptic equations with singular data ⋮ Some uniqueness results for singular elliptic problems ⋮ Some sufficient conditions for embedding a weighted Sobolev class on a John domain

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