Article detail · 2007 · article
On boundedness of potential integral operators in the Lorentz spaces
Data source split
- YÖKSİSYÖKSİS article record
- YÖKSİS venueIntegral Transforms and Special Functions
- Catalog match (ISSN)Integral Transforms and Special Functions
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
Abstract
In this paper, we study the convolution operator (B–convolution), and the generalized B-potential integral and fractional integral (B-fractional integral) with rough kernel, associated with the Laplace–Bessel differential operator We get O'Neil type inequality for the B–convolution. By using O'Neil type inequality we obtain a pointwise rearrangement estimate of the generalized B-potential integral. We prove the boundedness of the generalized B-potential integral operator in the Lorentz spaces, and the proof is based on the pointwise estimate of the rearrangement of this operator.
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Citations
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14citationsOpenAlex · cited_by_count (cache / database)
19 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
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