Commutators of BMO functions with spectral multiplier operators | Zendy

The Anh Bui | Zendy

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Commutators of BMO functions with spectral multiplier operators

Author(s) -

The Anh Bui

Publication year - 2012

Publication title -

journal of the mathematical society of japan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.047

H-Index - 36

eISSN - 1881-1167

pISSN - 0025-5645

DOI - 10.2969/jmsj/06430885

Subject(s) - mathematics , multiplier (economics) , commutator , bounded function , semigroup , pure mathematics , homogeneous , operator (biology) , spectral theory , analytic semigroup , kernel (algebra) , mathematical analysis , discrete mathematics , hilbert space , algebra over a field , combinatorics , biochemistry , chemistry , lie conformal algebra , repressor , gene , transcription factor , economics , macroeconomics

Let L be a non-negative self adjoint operator on L²(X) where X is a space of homogeneous type. Assume that L generates an analytic semigroup e-tL whose kernel satisfies the standard Gaussian upper bounds. By the spectral theory, we can define the spectral multiplier operator F(L). In this article, we show that the commutator of a BMO function with F(L) is bounded on Lp(X) for 1 < p < ∞ when F is a suitable function.18 page(s

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