Fractional Integrals and Generalized Olsen Inequalities

Hendra Gunawan and Eridani (2009) Fractional Integrals and Generalized Olsen Inequalities. Kyungpook Mathematical Journal, 49 (1). pp. 31-39. ISSN 04548124

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Official URL: http://kmj.knu.ac.kr/journal/view.html?uid=1640&vo...

Abstract

Let T_ be the generalized fractional integral operator associated to a function ho:(0,infty)o(0,infty), as defined in cite{Nak2}. For a function W on n, we shall be interested in the boundedness of the multiplication operator fmapstoWcdotThof on generalized Morrey spaces. Under some assumptions on ho, we obtain an inequality for WcdotTho, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results.

Item Type: Article
Uncontrolled Keywords: Fractional integral operators, Hardy-Littlewood maximal operators, multiplication operators, Olsen inequality, Morrey spaces
Subjects: Q Science
Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Creators:
CreatorsNIM
Hendra GunawanUNSPECIFIED
EridaniNIDN0001096904
Depositing User: Mr Vega Andi Budiman
Date Deposited: 08 Sep 2020 03:06
Last Modified: 08 Sep 2020 03:06
URI: http://repository.unair.ac.id/id/eprint/98531
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