Mochammad Idris and Hendra Gunawan and Eridani (2018) Norm estimates for Bessel-Riesz operators on generalized Morrey spaces. Mathematica Bohemica, 143 (3). pp. 1-9. ISSN 08627959

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Abstract

We revisit the properties of Bessel-Riesz operators and present a different proof of the boundedness of these operators on generalized Morrey spaces. We also obtain an estimate for the norm of these operators on generalized Morrey spaces in terms of the norm of their kernels on an associated Morrey space. As a consequence of our results, we reprove the boundedness of fractional integral operators on generalized Morrey spaces, especially of exponent $1$, and obtain a new estimate for their norm.

Item Type:	Article
Uncontrolled Keywords:	Bessel-Riesz operator; fractional integral operator; generalized Morrey space
Subjects:	Q Science Q Science > Q Science (General) Q Science > QA Mathematics
Divisions:	08. Fakultas Sains dan Teknologi > Matematika
Creators:	Creators NIM Mochammad Idris UNSPECIFIED Hendra Gunawan UNSPECIFIED Eridani NIDN0001096904
Depositing User:	Mr Vega Andi Budiman
Date Deposited:	08 Sep 2020 03:13
Last Modified:	08 Sep 2020 03:13
URI:	http://repository.unair.ac.id/id/eprint/98532
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