Dunkl-Hausdorff operator on weighted Orlicz spaces

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This is a Quantitative Study study.

Megha Madan; Arun Pal Singh; Monika Singh

doi:10.48550/arxiv.2508.12331

August 17, 2025Open Access

Dunkl-Hausdorff operator on weighted Orlicz spaces

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Key Points

The Dunkl-Hausdorff operator shows structured behavior in weighted Orlicz spaces, enhancing mathematical models.
Norm inequalities for the operator derive crucial insights into the behavior of non-negative, non-increasing functions.
Modular inequalities provide a foundation for advanced studies in functional spaces, relevant to various mathematical problems.
This analysis extends existing literature by connecting operator theory with weighted function spaces, ensuring broader applicability.

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Implication

Analysis characterizes norm and modular inequalities for the Dunkl-Hausdorff operator in weighted Orlicz spaces, contributing to functional analysis understanding.

Abstract

We characterize the modular and norm inequalities for the Dunkl-Hausdorff operator defined on non-negative non-increasing functions in the framework of the weighted Orlicz spaces.

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Cite This Study

Madan et al. (2025) studied this question.

synapsesocial.com/papers/68d6cd68b1249cec298b3acd https://doi.org/10.48550/arxiv.2508.12331

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Dunkl-Hausdorff operator on weighted Orlicz spaces

Key Points

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Implication

Abstract

Discussion

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Dunkl-Hausdorff operator on weighted Orlicz spaces

Key Points

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Implication

Abstract

Discussion

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