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Singular Integrals

  • David E. Edmunds
  • Vakhtang Kokilashvili
  • Alexander Meskhi
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 543)

Abstract

The question of the boundedness of integral transforms defined on spaces of homogeneous type (SHT) arises naturally when studying boundary-value problems for partial differential equations with variable coefficients. For example, when the underlying domain is strongly pseudo-convex, one is led to use the concept of the Heisenberg group (and more general structures) as a model for the boundary of the domain in the theory of functions of several complex variables. Such problems indicate a strong need for structures more general than spaces of functions on Euclidean space. The space domain might, for instance, be most conveniently endowed with a quasi-metric induced by a differential operator or tailored to suit the kernel of a given integral operator (see [278], Chapters I, XII and XIII).

Keywords

Weight Function Integral Operator Heisenberg Group Singular Integral Type Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • David E. Edmunds
    • 1
  • Vakhtang Kokilashvili
    • 1
  • Alexander Meskhi
    • 2
  1. 1.Centre for Mathematical Analysis and its ApplicationUniversity of SussexSussexUK
  2. 2.A. Razmadze Mathematical InstituteGeorgian Academy of SciencesTbilisiGeorgia

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