Multilinear Riesz potential operators on Herz-type spaces and generalized Morrey spaces

Boundedness of oscillatory integral operators and their commu- tators on weighted Morrey spaces

“…For some works on the boundedness for the multilinear singular integral operators on Morrey type spaces, we refer to [5], [21] and [23].…”

Multilinear fractional integrals on Morrey spaces

“…This is motivated by the results due to Lacey and Thiele [6][7][8]. Recently many people are studying these operators from a various points of view [9][10][11][12][13][14].…”

On the Boundedness of Multilinear Operators on Weighted Herz-Morrey Spaces

“…In 2002, Grafakos and Torres [2] studied the boundedness of multilinear Calder ón-Zygmund operators on the product of Lebesgue spaces and the endpoint weak estimates; and they extended it to a weighted version in [3]. Recently, the authors have studied the boundedness of the multilinear fractional integrals on Herz-Morrey spaces in [6] [7] and [10]. In this paper, we focus on the boundedness of the multilinear singular integral operators on weighted Herz-Morrey spaces and their weak estimates on endpoints.…”