Weighted Inequalities and Estimates of Operators in the 
Weighted Setting

Jayadev Nath; Chet Raj Bhatta

doi:https://doi.org/10.14445/22315373/IJMTT-V71I10P113

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 10 | Year 2025 | Article Id. IJMTT-V71I10P113 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I10P113

Weighted Inequalities and Estimates of Operators in the Weighted Setting

Jayadev Nath, Chet Raj Bhatta

Received	Revised	Accepted	Published
27 Aug 2025	01 Oct 2025	20 Oct 2025	30 Oct 2025

Citation :

Jayadev Nath, Chet Raj Bhatta, "Weighted Inequalities and Estimates of Operators in the Weighted Setting," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 10, pp. 87-95, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I10P113

Abstract

A historical development and scope of the 𝐴𝑝 The condition of the scalar weight function are reviewed in the paper. Moreover, the dependence of the weighted norm, ‖𝑇‖𝐿2(𝑤) of some classical operators T on the Muckenhoupt characteristic constant of the weight, [𝑤]𝐴2 , qualitatively and quantitatively, and its chronology, as well as linear and multilinear estimates of some fundamental operators, and some important tools used are also studied.

Keywords

𝐴2-Conjecture, 𝐴𝑝-Characteristic Constant, Jones Factorization Theorem, Weight, Weighted Inequality.

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