Trace and Extension Theorems for Homogeneous Sobolev and Besov Spaces for Unbounded Uniform Domains in Metric Measure Spaces

Author:

Gibara Ryan,Shanmugalingam Nageswari

Publisher

Pleiades Publishing Ltd

Reference38 articles.

1. H. Aikawa and N. Shanmugalingam, “Carleson type estimates for $$p$$-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces,” Michigan Math. J. 53 (1), 165–188 (2005).

2. P. Alonso-Ruiz, F. Baudoin, L. Chen, L. Rogers, N. Shanmugalingam, and A. Teplyaev, “Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates,” Calc. Var. Partial Diff. Eqns. 60 (5), 170 (2021).

3. O. V. Besov, “On a certain family of functional spaces. Imbedding and extension theorems,” Dokl. Akad. Nauk SSSR 126 (6), 1163–1165 (1959).

4. O. V. Besov, “Investigation of a class of function spaces in connection with imbedding and extension theorems,” Tr. Mat. Inst. Steklova 60, 42–81 (1961).

5. O. V. Besov, “The behavior of differentiable functions on a nonsmooth surface,” Proc. Steklov Inst. Math. 117, 1–9 (1974) [transl. from Tr. Mat. Inst. Steklova 117, 3–10 (1972)].

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