Work

On Estimates of Non-Increasing Rearrangement of Generalized Fractional Maximal Function

Year: 2023

Type: article

Abstract: We give a sharp pointwise estimate of the non-increasing rearrangement of the generalized fractional maximal function \((M_{\Phi}f)(x)\) via an expression involving the non-increasing rearrangement of \(f\). It is shown that the obtained estimate is more sharp than the inequality which follows from the estimate for the generalized Riesz potential.

Source: Eurasian Mathematical Journal

DOI: 10.32523/2077-9879-2023-14-2-13-23

Authors: Nurzhan Bokayev, Azhar Abek, Amiran Gogatishvili

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Università degli Studi di Padova, Akademie Věd České Republiky, Shota Rustaveli National Science Foundation, RUDN University

Award: G1741043573

OpenAlex ID: W4401686683

FWCI: 0.902

Cites:

Cited by: 2

Related to: 10