Norm estimates of a class of Calderon-Zygmund type strongly singular integral operators

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2007

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Taylor & Francis Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

In this article, we prove the L-p boundedness of a class of Calderon - Zygmund type strongly singular operators. In particular, we give an estimate for the L-2 norm of these operators in the unit disc of the complex plane.

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Celebi, Ahmet Okay/0000-0001-5256-1035; Aksoy, Umit/0000-0002-6014-1898
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Celebi, Ahmet Okay ORCID logo
Aksoy, Umit ORCID logo

Keywords

singular integral operator, Calderon-Zygmund type operator, Forelli-Rudin estimates, Pompeiu operator

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7

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Volume

18

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2

Start Page

87

End Page

93

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https://doi.org/10.1080/10652460601092279
 https://hdl.handle.net/20.500.14411/962

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