EXTENSION AND RESTRICTION THEOREMS IN ANISOTROPIC BESOV SPACES

DOI10.1142/S0219199710003774zbMath1201.46030OpenAlexW2161865590MaRDI QIDQ3560163

Tong Keun Chang

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1142/s0219199710003774

zbMATH Keywords

extensionsrestrictionsanisotropic Besov spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85)

Related Items (1)

On initial-boundary value problem of the stochastic heat equation in Lipschitz cylinders

Cites Work

• The trace problem for Sobolev spaces over the Heisenberg group
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• The trace problem for vector fields satisfying Hörmander's condition
• The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
• A blow-up theorem for regular hypersurfaces on nilpotent groups
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
• \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
• A note on Besov regularity of layer potentials and solutions of elliptic PDE’s
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES

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