
arXiv: math/0311523
In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.
15 pages, no figures, no tables
Maximal functions, Littlewood-Paley theory, Triebel-Lizorkin spaces, Littlewood-Paley operator, Mathematics - Classical Analysis and ODEs, Hardy-Littlewood maximal function, Multilinear and polynomial operators, Marcinkiewicz operator, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 42B20, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 42B25, 42B20; 42B25, multilinear operators
Maximal functions, Littlewood-Paley theory, Triebel-Lizorkin spaces, Littlewood-Paley operator, Mathematics - Classical Analysis and ODEs, Hardy-Littlewood maximal function, Multilinear and polynomial operators, Marcinkiewicz operator, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 42B20, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 42B25, 42B20; 42B25, multilinear operators
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