BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities

Mario Milman

Type: Book-Chapter

Publication Date: 2016-01-01

Citations: 7

DOI: https://doi.org/10.1007/978-3-319-30961-3_13

Abstract

A new approach to classical self improving results for BMO functions is presented. “Coordinate Gagliardo spaces” are introduced and a generalized version of the John-Nirenberg Lemma is proved. Applications are provided.

Locations

Association for Women in Mathematics series - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (72)

Action	Title	Year	Authors
+ PDF Chat	Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces	1966	R. Fleming
+ PDF Chat	Interpolation of Quasi-Normed Spaces.	1970	Tord Holmstedt
+ PDF Chat	Imbedding theorems of Sobolev type in potential theory.	1979	Kurt Hansson
+ PDF Chat	Notes on limits of Sobolev spaces and the continuity of interpolation scales	2005	Mario Milman
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman
+ PDF Chat	Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces	2011	Joaquim Martı́n Mario Milman
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+ PDF Chat	Distribution function inequalities for the area integral	1972	D. E. Burkholder Richard F. Gundy