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This is a Quantitative Study study.

September 27, 2025Integral Transforms and Special Functions

Multipliers on the Hardy and Bergman spaces associated with a class of generalized analytic functions

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Multiplier theorems establish new relationships in Hardy spaces, enhancing understanding of function behaviors.
Analysis shows several inequalities on coefficients in Bergman spaces, specifically where 2λ/(2λ+1)<p<∞.
Research focuses on lambda-analytic functions within the unit disk, presenting essential findings for mathematical analysis.
The implications suggest potential applications in complex function theory and related mathematical fields.

Implication

This analysis reveals multipliers' impact in Hardy and Bergman spaces for lambda-analytic functions, suggesting new inequalities.

Abstract

In the paper we prove several multiplier theorems on the Hardy spaces Hλp(D) and the Bergman spaces Aλp(D) associated with λ-analytic functions on the unit disk D, and some inequalities on coefficients of functions in the Bergman spaces Aλp(D), where 2λ/(2λ+1)<p<∞.

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Cite This Study

Qian et al. (2025) studied this question.

synapsesocial.com/papers/68d7be66eebfec0fc5237d31 https://doi.org/10.1080/10652469.2025.2562286

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Implication

This analysis reveals multipliers' impact in Hardy and Bergman spaces for lambda-analytic functions, suggesting new inequalities.

Multipliers on the Hardy and Bergman spaces associated with a class of generalized analytic functions

Key Points

Implication

Abstract

Discussion

Cite This Study

Multipliers on the Hardy and Bergman spaces associated with a class of generalized analytic functions

Key Points

Implication

Abstract

Discussion

Cite This Study

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