Continuity properties of strongly singular integral operators for extreme values of $p$
Classical Analysis and ODEs
2026-04-27 v1 Analysis of PDEs
Abstract
In this work, we establish continuity properties of strongly singular integral operators for extreme values of . Particularly, weighted - boundedness is obtained, generalizing Miyachi's result to the context of Muckenhoupt weights. As an application, we get an alternative proof of Chanillo's weighted estimates via extrapolation techniques.
Keywords
Cite
@article{arxiv.2604.22690,
title = {Continuity properties of strongly singular integral operators for extreme values of $p$},
author = {Fabio Berra and Gladis Pradolini and Wilfredo Ramos and Ignacio Viltes},
journal= {arXiv preprint arXiv:2604.22690},
year = {2026}
}