Article detail · 2007 · article
Inequality of ONeil-type for convolutions associated with the Laplace-Bessel differential operator and applications
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- YÖKSİSYÖKSİS article record
- YÖKSİS venueMathematical Inequalities & Applications
- Catalog match (ISSN)Mathematical Inequalities and Applications
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
Abstract
In this paper we prove an O'Neil-type inequality for the convolution operator ( Bconvolution) associated with the Laplace-Bessel differential operator. By using an O'Neiltype inequality for rearrangements we obtain a pointwise rearrangement estimate of the Bconvolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional B -maximal operator and B -fractional integral operator with rough kernels from the spaces L p, to L q, and from the spaces L 1, to the weak spaces WL q, .
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Citations
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6citationsOpenAlex · cited_by_count (cache / database)
6 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2007 On boundedness of potential integral operators in the Lorentz spacesCitations 14 · OpenAlex
- 2023 B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spacesCitations 7 · OpenAlex
- 2023 B-maximal operators, B-singular integral operators and B-Riesz potentials in variable exponent Lorentz spacesCitations 7 · OpenAlex
- 2025 B−maximal and B−singular integral operators in B−local Morrey-Lorentz spacesCitations 1 · OpenAlex
- 2025 B−maximal and B−singular integral operators in B−local Morrey-Lorentz spacesCitations 1 · OpenAlex
- 2018 On the boundedness of square function generated by the Bessel dierential operator in weighted Lebesque Lp,α spacesCitations 1 · OpenAlex