Hardy Spaces of Certain Convolution Operator

2019/10/10 by Rajbala, Jugal K. Prajapat, Prajapat, Jugal K.
Mathematics · #30C45 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:30C45

paper · pdf · doi:10.48550/arxiv.1910.04445

Kyungpook Mathematical Journal-2019

arxiv created 2019/10/10 · openalex publication_date 2019/10/10 · arxiv updated 2019/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we determine conditions on the parameters of a generalized convolution operator such that it belongs to the Hardy space and to the space of bounded analytic functions. Results obtained are new and their usefulness is depicted by deducing several interesting examples.

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