A T(1) theorem for entangled multilinear dyadic Calderon-Zygmund operators (CROSBI ID 196635)
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Podaci o odgovornosti
Kovač, Vjekoslav ; Thiele, Christoph
engleski
A T(1) theorem for entangled multilinear dyadic Calderon-Zygmund operators
We prove a boundedness criterion for a class of dyadic multilinear forms acting on two-dimensional functions. Their structure is more general than the one of classical multilinear Calderon-Zygmund operators as several functions can now depend on the same one-dimensional variable. The study of this class is motivated by examples related to the two-dimensional bilinear Hilbert transform and to bilinear ergodic averages. This paper is a sequel to a prior paper by the first author.
Calderon-Zygmund operator ; multilinear operator ; T(1) theorem
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Podaci o izdanju
57 (3)
2013.
775-799
objavljeno
0019-2082
1945-6581
10.1215/ijm/1415023510