Maximal operators given by Fourier multipliers with dilation of fractional dimensions

Key Points

Key points are not available for this paper at this time.

Abstract

In this paper, we investigate Lᵖ bounds of maximal Fourier multiplier operators with dilation of fractional dimensions. For the Fourier multipliers, we suggest a criterion related to dimensions of dilation sets which guarantees Lᵖ bounds of the maximal operators for each p. Our criterion covers Mikhlin-type multipliers, multipliers with limited decay, and multipliers with slow decay.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

Lee et al. (Mon,) studied this question.

synapsesocial.com/papers/68e68593b6db64358760de59 https://doi.org/https://doi.org/10.48550/arxiv.2405.16855

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Bilinear Rough Singular Integrals near the Critical Integrability via Sharp Fourier Multiplier Criteria2024
2On Some Multipliers Related to Discrete Fractional Integrals2024
3Absolute dilation of Fourier multipliers2025
4Absolute Dilation of Fourier Multipliers2025
5Bilinear oscillatory Fourier multipliers2024

Mark Helpful

Bookmark

Relay

View Full Paper