Work

Weighted inequalities for sub-monotone functionals

Year: 2025

Type: article

Abstract: We establish a set of relations between several quite diverse types of weighted inequalities involving various integral operators and fairly general quasinorm-like functionals which we call sub-monotone. The main result enables one to solve a specific problem by transferring it to another one for which a solution is known. The main result is formulated in a rather surprising generality, involving previously unknown cases, and it works even for some nonlinear operators such as the geometric or harmonic mean operators. Proofs use only elementary means.

Source: Revista Matemática Complutense

DOI: 10.1007/s13163-025-00521-z

Authors: Amiran Gogatishvili, Luboš Pick

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Charles University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190