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math.FA2010★ 3 cited
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…
math.FA2010★ 1 cited
On the boundary values of Sobolev -functions
Pavel Shvartsman
For each we use local oscillations to give intrinsic characterizations of the trace of the Sobolev space to the boundary of an arbitrary domain .