Hardy’s inequalities and integral operators on Herz-Morrey spaces

We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard...

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Main Authors:	Yee Tat-Leung, Ho Kwok-Pun
Format:	Article
Language:	English
Published:	De Gruyter 2020-03-01
Series:	Open Mathematics
Subjects:	herz spaces morrey spaces central morrey space hardy’s inequalities integral operators boyd’s indices hadamard fractional integrals hilbert inequality 42b35 44a15 46e30
Online Access:	https://doi.org/10.1515/math-2020-0008

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spelling	doaj-a334608a640f44b589c2258d3a630e9f2021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-03-0118110612110.1515/math-2020-0008math-2020-0008Hardy’s inequalities and integral operators on Herz-Morrey spacesYee Tat-Leung0Ho Kwok-Pun1Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, Hong Kong, ChinaDepartment of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, Hong Kong, ChinaWe obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.https://doi.org/10.1515/math-2020-0008herz spacesmorrey spacescentral morrey spacehardy’s inequalitiesintegral operatorsboyd’s indiceshadamard fractional integralshilbert inequality42b3544a1546e30
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yee Tat-Leung Ho Kwok-Pun
spellingShingle	Yee Tat-Leung Ho Kwok-Pun Hardy’s inequalities and integral operators on Herz-Morrey spaces Open Mathematics herz spaces morrey spaces central morrey space hardy’s inequalities integral operators boyd’s indices hadamard fractional integrals hilbert inequality 42b35 44a15 46e30
author_facet	Yee Tat-Leung Ho Kwok-Pun
author_sort	Yee Tat-Leung
title	Hardy’s inequalities and integral operators on Herz-Morrey spaces
title_short	Hardy’s inequalities and integral operators on Herz-Morrey spaces
title_full	Hardy’s inequalities and integral operators on Herz-Morrey spaces
title_fullStr	Hardy’s inequalities and integral operators on Herz-Morrey spaces
title_full_unstemmed	Hardy’s inequalities and integral operators on Herz-Morrey spaces
title_sort	hardy’s inequalities and integral operators on herz-morrey spaces
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2020-03-01
description	We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.
topic	herz spaces morrey spaces central morrey space hardy’s inequalities integral operators boyd’s indices hadamard fractional integrals hilbert inequality 42b35 44a15 46e30
url	https://doi.org/10.1515/math-2020-0008
work_keys_str_mv	AT yeetatleung hardysinequalitiesandintegraloperatorsonherzmorreyspaces AT hokwokpun hardysinequalitiesandintegraloperatorsonherzmorreyspaces
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Hardy’s inequalities and integral operators on Herz-Morrey spaces

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