Work

On Sawyer Duality in One and Higher Dimensions

Year: 2026

Type: article

Abstract: We develop the Sawyer duality principle for non-increasing functions where, in the denominator, the function g is replaced by ∫x∞g(t)tdt. This result complements Stepanov’s result in which g was replaced by 1x∫0xg(t)dt. We use our result and obtain Stepanov’s result for non-decreasing functions and similarly use Stepanov’s result in proving our result for non-decreasing functions. These results have also been obtained in Rn.

Source: Axioms

DOI: 10.3390/axioms15040266

Authors: Alberto Fiorenza, Pankaj Jain, Saujanya Mohanty

Institutions: Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council, University of Naples Federico II, South Asian University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W7151280702

FWCI:

Cites: 9

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