Maximal and Riesz Potential Operators on Musielak–Orlicz Spaces Over Metric Measure Spaces View Full Text


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Article Info

DATE

2018-12

AUTHORS

Takao Ohno, Tetsu Shimomura

ABSTRACT

Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator Mλ on Musielak–Orlicz spaces LΦ(X) over bounded metric measure spaces. As an application of the boundedness of Mλ, we establish a generalization of Sobolev’s inequality for Riesz potentials Iα(·),τf with f∈LΦ(X).

PAGES

62

References to SciGraph publications

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  • 2013-09. Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents in COLLECTANEA MATHEMATICA
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  • 2016-06. Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces in CZECHOSLOVAK MATHEMATICAL JOURNAL
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  • 2018-01. Sobolev inequalities for Musielak–Orlicz spaces in MANUSCRIPTA MATHEMATICA
  • 2000. Electrorheological Fluids: Modeling and Mathematical Theory in NONE
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    http://scigraph.springernature.com/pub.10.1007/s00020-018-2484-0

    DOI

    http://dx.doi.org/10.1007/s00020-018-2484-0

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