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BMO spaces associated with semigroups of operators

Name: BMO spaces associated with semigroups of operators
Keywords: Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Mathematics - Operator Algebras, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 46L51 (42B25 46L10 47D06), Operator Algebras (math.OA), Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 04 Mar 2011Embargo end date: 01 Jan 2011Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 352, pages 691-743 (issn: 0025-5831, eissn: 1432-1807,

Authors: Marius Junge; Tao Mei;

doi: 10.1007/s00208-011-0657-0 , 10.48550/arxiv.1111.6194

arXiv: http://arxiv.org/abs/1111.6194

BMO spaces associated with semigroups of operators

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Abstract

We study BMO spaces associated with semigroup of operators and apply the results to boundedness of Fourier multipliers. We prove a universal interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < \infty, with optimal constants in p.

Math Ann

Related Organizations

University of Illinois at Urbana Champaign
United States
Wayne State University
United States
Wayne State College
United States
University of Illinois System
United States

Keywords

Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Mathematics - Operator Algebras, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 46L51 (42B25 46L10 47D06), Operator Algebras (math.OA), Functional Analysis (math.FA)

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NSF| Noncommutative Hardy Spaces and Littlewood-Paley Theory