Estimates of multilinear singular integral operators and mean oscillation | Zendy

Lanzhe Liu | Zendy

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Estimates of multilinear singular integral operators and mean oscillation

Author(s) -

Lanzhe Liu

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1409201l

Subject(s) - multilinear map , singular integral operators , mathematics , singular integral operators of convolution type , singular integral , operator (biology) , fourier integral operator , lp space , operator theory , oscillation (cell signaling) , pure mathematics , strictly singular operator , lebesgue integration , finite rank operator , standard probability space , quasinormal operator , microlocal analysis , mathematical analysis , integral equation , banach space , biochemistry , chemistry , genetics , repressor , biology , transcription factor , gene

We prove the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces. The operators include Calderon-Zygmund singular integral operator, Littlewood-Paley operator and Marcinkiewicz operator.

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