arXiv:1605.06723 Abstract | arXiv Analytics

arXiv:1605.06723 [math.AP]Abstract References Reviews Resources

The boundedness of Bessel-Riesz operators on generalized Morrey spaces

Published 2016-05-22Version 1

In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.

Comments: 10 pages

Categories: math.AP

Subjects: 42B20, 26A33, 42B25, 26D10, 47G10

Keywords: generalized morrey spaces, bessel-riesz operators, boundedness, usual dyadic decomposition, hardy-littlewood maximal operator

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