Compactness properties of commutators of bilinear fractional integrals
Classical Analysis and ODEs
2013-10-16 v1
Abstract
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions of the bilinear Hilbert transform yield separately compact operators.
Keywords
Cite
@article{arxiv.1310.3865,
title = {Compactness properties of commutators of bilinear fractional integrals},
author = {Árpád Bényi and Wendolín Damián and Kabe Moen and Rodolfo H. Torres},
journal= {arXiv preprint arXiv:1310.3865},
year = {2013}
}
Comments
15 pages