VOLTERRA INTEGRAL OPERATORS FROM MORREY-TYPE SPACES TO DIRICHLET–MORREY TYPE SPACES

Ruishen Qian

doi:10.1216/jie.2023.35.131

Abstract

We continue the work of X. Zhu, L. Hu and D. Qu (2022) by investigating the boundedness and essential norm of the Volterra integral operator $V_g$ and the associate integral operator $S_g$ from Morrey-type spaces ${\mathcal H}_K^p$ to Dirichlet–Morrey type spaces $\mathcal{D}_{p - 1}^{p,K}$ .

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Ruishen Qian. "VOLTERRA INTEGRAL OPERATORS FROM MORREY-TYPE SPACES TO DIRICHLET–MORREY TYPE SPACES." J. Integral Equations Applications 35 (2) 131 - 140, Summer 2023. https://doi.org/10.1216/jie.2023.35.131

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Received: 12 December 2022; Revised: 1 May 2023; Accepted: 13 May 2023; Published: Summer 2023

First available in Project Euclid: 25 October 2023

Digital Object Identifier: 10.1216/jie.2023.35.131

Subjects:

Primary: 30H30 , 47B33

Keywords: Dirichlet–Morrey type spaces , Morrey-type spaces , Volterra integral operator

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