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Showing 1 to 3 of 3 for “"multilinear operators"”.
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Multilinear operators in harmonic analysis: Methods and applications
We first give a survey on multilinear Hilbert transforms. Then we study several variants of bilinear Hilbert transform such as bilinear Hilbert transform along two polynomials, discrete (integer) bilinear Hilbert transform along polynomials, finite field version of bilinear Radon transform, a …
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Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices
… the Banach lattice of all regular m-linear operators from E1×···× Em to F, if and only if each basis of E1,…,Em is shrinking and every positive m-linear operator from E 1×···×Em to F is weakly sequentially continuous. As a consequence, we obtain necessary and sufficient conditions for which …
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Bounds for Bilinear Analogues of the Spherical Averaging Operator
… and sparse bounds for several bilinear and multilinear operators that generalize the linear spherical average to the multilinear setting, and maximal variants of these operators, with an emphasis on the triangle averaging operator and the bilinear spherical averaging operator.