Non-Isotropic Potential Theoretic Inequality
M. Esra Yildirim, Abdullah Akkurt, and H\"usey\.In Yildirim
TL;DR
This paper introduces new weighted inequalities related to potential operators, extending classical results by incorporating distance-based weights, which could impact analysis in potential theory and related fields.
Contribution
It presents novel weighted inequalities for potential operators that are based on distance, expanding the theoretical framework of potential theory.
Findings
Derived new weighted inequalities for potential operators
Extended classical potential inequalities with distance-based weights
Potential applications in analysis and mathematical physics
Abstract
In this paper, the new weighted inequalities were derived by-distance which is similar to the given inequality for the potential operator defined in [1].
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Numerical methods in engineering · Numerical methods in inverse problems