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Date Published: 13/12/2019
Online Published: 23/12/2019
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DOI: https://doi.org/10.54607/hcmue.js.16.12.2566(2019)
Issue
Vol. 16 No. 12 (2019)
Section
Articles
How to Cite
Trần , T. D. (2019). THE BOUNDEDNESS OF GENERALIZED WEIGHTED HARDY-CESÀRO OPERATORS ON GENERALIZED MORREY SPACES. HCMUE Journal of Science, 16(12), 1008. https://doi.org/10.54607/hcmue.js.16.12.2566(2019)

THE BOUNDEDNESS OF GENERALIZED WEIGHTED HARDY-CESÀRO OPERATORS ON GENERALIZED MORREY SPACES

Trí Dũng Trần

Main Article Content

Abstract

 

Let  be measurable functions and  be a parameter curve in  given by  In this paper, we study the boundedness of the weighted Hardy-Cesàro operator defined by for measurable complex-valued functions  on  on generalized Morrey spaces . We obtain some sufficient conditions on the functions  and , which ensure the boundedness of the weighted Hardy-Cesàro operator and its commutator with symbols in BMO spaces on generalized Morrey spaces .

 

Keywords

weighted Hardy-Cesàro operator, commutator, generalized Morrey space, BMO space

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References

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