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Operator valued BMO and commutators

Name: Operator valued BMO and commutators
Creator: Blasco, O.
Keywords: Operator-valued singular integrals, Commutator, commutator, 42B20, Bounded mean oscillation, 42B25, operator-valued singular integrals

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2009 Spain Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 53, pages 231-244 (issn: 0214-1493,

Authors: Blasco, O.;

doi: 10.5565/publmat_53109_10 , 10.5565/10.5565-publmat_53109_10

Operator valued BMO and commutators

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Abstract

If E is a Banach space, b ∈ BMO(Rn, L(E) and T is a L(E)-valued Calderón-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) − T(bf) on Lp(Rn,E) for 1 < p < ∞ whenever b and k verify some commuting properties. Some endpoint estimates are also provided.

Country

Spain

Related Organizations

Autonomous University of Barcelona
Spain
University of Valencia
Spain

Keywords

Operator-valued singular integrals, Commutator, commutator, 42B20, Bounded mean oscillation, 42B25, operator-valued singular integrals

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