Traces of functions on weak Markov subsets of

Authors:
A. Brudnyĭ and Yu. Brudnyĭ

Translated by:
the authors

Original publication:
Algebra i Analiz, tom **23** (2011), nomer 1.

Journal:
St. Petersburg Math. J. **23** (2012), 39-56

MSC (2010):
Primary 26B35

DOI:
https://doi.org/10.1090/S1061-0022-2011-01185-9

Published electronically:
November 7, 2011

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A wide class of closed subsets of is introduced; these subsets admit constructive extensions with good bounds for the corresponding extension constants.

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Additional Information

**A. Brudnyĭ**

Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

Email:
albru@math.ucalgary.ca

**Yu. Brudnyĭ**

Affiliation:
Department of Mathematics, Technion, Haifa, Israel

Email:
ybrudnyi@math.technion.ac.il

DOI:
https://doi.org/10.1090/S1061-0022-2011-01185-9

Keywords:
Weak Markov sets,
linear $C^{k, \omega}$ extension,
finiteness constants,
depth of finite order

Received by editor(s):
August 20, 2010

Published electronically:
November 7, 2011

Additional Notes:
Research of the first author was supported in part by NSERC

Dedicated:
In memory of Mikhail Shlemovich Birman

Article copyright:
© Copyright 2011
American Mathematical Society