Commutators with Lipschitz Functions and Nonintegral Operators | Zendy

Peizhu Xie | Zendy; Ruming Gong | Zendy

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Commutators with Lipschitz Functions and Nonintegral Operators

Author(s) -

Peizhu Xie,

Ruming Gong

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/178961

Subject(s) - lipschitz continuity , kernel (algebra) , operator (biology) , mathematics , divergence (linguistics) , pure mathematics , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene

Let T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with T and Lipschitz functions. Applications include spectral multipliers of self-adjoint, positive operators, Riesz transforms of second-order divergence form operators, and fractional power of elliptic operators

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