7 citations · 17 across the 7 of their papers we have counts for
7 papers
A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes
Michael Cwikel, Yoram Sagher, Pavel Shvartsman
We develop some techniques for studying various versions of the function space BMO. Special cases of one of our results give alternative proofs of the celebrated John- Nirenberg in…
The Whitney extension problem for Zygmund spaces and Lipschitz selections in hyperbolic jet-spaces
Pavel Shvartsman
We study a variant of the Whitney extension problem for the space of functions whose partial derivatives of order satisfy the generalized Zygmund condition. We…
On Sobolev extension domains in
Pavel Shvartsman
We describe a class of Sobolev -extension domains determined by a certain inner subhyperbolic metric in . This enables us to characterize finitely connecte…
Sobolev -spaces on closed subsets of
Pavel Shvartsman
For each we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space to an arbitrary closed subse…
The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces
Pavel Shvartsman
We study a variant of the Whitney extension problem for the space . We identify this space with a space of Lipschitz mappings from into the space $P_k \times R^…
Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of
Pavel Shvartsman
We give an intrinsic characterization of the restrictions of Sobolev, Triebel-Lizorkin and Besov spaces to regular subsets of via sharp maximal functions and local approximat…