Adjoint of generalized Cesáro operators on analytic function spaces-Reference-Cited by-同舟云学术

Adjoint of generalized Cesáro operators on analytic function spaces

Published:2020-09-01 Issue:2 Volume:26 Page:185-192
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Naik Sunanda¹,Nath Pankaj K.¹

Affiliation:

1. Department of Applied Sciences , Gauhati University , Guwahati 781014 , India

Abstract

Abstract In this article, we define a convolution operator and study its boundedness on mixed-norm spaces. In particular, we obtain a well-known result on the boundedness of composition operators given by Avetisyan and Stević in [K. Avetisyan and S. Stević, The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc, Appl. Math. Comput. 213 2009, 2, 304–311]. Also we consider the adjoint 𝒜 b , c

{\mathcal{A}^{b,c}}

for b > 0

{b>0}

of two parameter families of Cesáro averaging operators and prove the boundedness on Besov mixed-norm spaces B α + ( c - 1 ) p , q

{B_{\alpha+(c-1)}^{p,q}}

for c > 1

{c>1}

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2019/pdf

Reference24 articles.

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