Relations between two classes of singular integrals

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dc.contributor.advisorJones, Franken_US
dc.creatorTu, Chang-Charen_US
dc.date.accessioned2016-04-22T21:58:47Zen_US
dc.date.available2016-04-22T21:58:47Zen_US
dc.date.issued1964en_US
dc.description.abstractIn 1952, Calderdn and Zygmund published a paper in which they discussed a certain kind of singular integral, and used some of their results to establish differential properties of solutions of Poisson's equation. Recently, Jones made some observations on the fundamental solution of the heat equation and gave another class of singular integrals. In this thesis it is shown that a special case of Jones's kernel is of Calderon-Zygmund type and a real, even kernel considered in [2] is a kernel of Jones's type if the coordinate system is suitably chosen. Moreover, for such kernels, the difference of the convolution operators-- defined in the sense of Jones and in the sense of CalderonZygmund, respectively--is a constant multiple of the identity operator.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent32 ppen_US
dc.identifier.callnoThesis Math. 1964 Tuen_US
dc.identifier.citationTu, Chang-Char. "Relations between two classes of singular integrals." (1964) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89860">https://hdl.handle.net/1911/89860</a>.en_US
dc.identifier.digitalRICE0894en_US
dc.identifier.urihttps://hdl.handle.net/1911/89860en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleRelations between two classes of singular integralsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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