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arXiv · 1011.0766

A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes

Michael Cwikel·Yoram Sagher·Pavel Shvartsman
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Abstract

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 inequality and of related inequalities due to John and to Wik. Our approach enables us to pose a simply formulated "geometric" question, for which an affirmative answer would lead to a version of the John-Nirenberg inequality with dimension free constants. A more detailed summary of the main ideas and results of this paper can be found at http://www.math.technion.ac.il/~mcwikel/bmo/CwikSaghShvaSummary.pdf

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Michael Cwikel, Yoram Sagher, Pavel Shvartsman. 2010-11-02. A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes. https://arxiv.org/abs/1011.0766

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