Relations between two classes of singular integrals

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dc.contributor.advisorJones, Frank
dc.creatorTu, Chang-Char
dc.date.accessioned2016-04-22T21:58:47Z
dc.date.available2016-04-22T21:58:47Z
dc.date.issued1964
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.
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>.
dc.identifier.digitalRICE0894en_US
dc.identifier.urihttps://hdl.handle.net/1911/89860
dc.language.isoeng
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.
dc.titleRelations between two classes of singular integrals
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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