[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200656

UNBOUNDEDNESS OF THE TRILINEAR HILBERT TRANSFORM UNDER THE CRITICAL INDEX

Komori-Furuya, Yasuo (Department of Mathematics School of Science Tokai University)

Publication Information

Journal of the Korean Mathematical Society / v.58, no.5, 2021 , pp. 1299-1309 More about this Journal

Abstract

Demeter [1] and Kuk and Lee [5] proved the unboundedness of the trilinear Hilbert transforms H_a,b,c under the critical index 1/2 for some parameters a, b and c. We show the unboundedness of H_a,b,c for any parameters.

Keywords

Bilinear Hilbert transform; trilinear Hilbert transform; trilinear fractional integral operator;

Citations & Related Records

Reference

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