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This is a Quantitative Study study.

October 10, 2025Open Access

An Extrapolation Theorem in the setting of Hausdorff capacities

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The research proves a new extrapolation theorem relevant to Hausdorff capacities, expanding existing theoretical foundations.
Using techniques similar to those in classical extrapolation theorems, the findings incorporate recent advancements in capacitary Muckenhoupt weights.
Comparative analysis with traditional methods showcases the effectiveness of applying Hausdorff capacities in extrapolation theories.
Implications of this theorem may enhance understanding in various mathematical applications, particularly in functional analysis.

Implication

This paper proves an analogue of Rubio de Francia's extrapolation theorem using Hausdorff capacities, highlighting methodological advancements.

Abstract

In this article, we prove an analogue of the Rubio de Francia's extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to those in the classical setting and using the recently developed theory of capacitary Muckenhoupt weights.

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Cite This Study

Aniruddha Deshmukh (2025) studied this question.

synapsesocial.com/papers/68e90f526476c097794aa459 https://doi.org/10.48550/arxiv.2510.04105

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Implication

This paper proves an analogue of Rubio de Francia's extrapolation theorem using Hausdorff capacities, highlighting methodological advancements.

An Extrapolation Theorem in the setting of Hausdorff capacities

Key Points

Implication

Abstract

Discussion

Cite This Study

An Extrapolation Theorem in the setting of Hausdorff capacities

Key Points

Implication

Abstract

Discussion

Cite This Study

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