English

The rectangular fractional integral operators

Classical Analysis and ODEs 2023-09-28 v1

Abstract

With rectangular doubling weight, a~generalized Hardy-Littlewood-Sobolev inequality for rectangular fractional integral operators is verified. The result is a~nice application of MM-linear embedding theorem for dyadic rectangles.

Keywords

Cite

@article{arxiv.2309.15410,
  title  = {The rectangular fractional integral operators},
  author = {Hitoshi Tanaka},
  journal= {arXiv preprint arXiv:2309.15410},
  year   = {2023}
}
R2 v1 2026-06-28T12:33:24.340Z