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Elements of Singular Integrals

In: Real Analysis Methods for Markov Processes

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  • Kazuaki Taira

    (University of Tsukuba, The College of Mathematics)

Abstract

TheSingular integral operator Calderón–Zygmund theoryCalderón–Zygmund singular integral operator of singular integral operators is a very refined mathematical tool whose full power is yet to be exploited (see Stein [140], Meyer [102]). This chapter is devoted to a careful and accessible exposition of the most elementary part of the Calderón–Zygmund theory. We present a straightforward treatment of the Calderón–Zygmund theory necessary for the study of elliptic boundary value problems, assuming only basic knowledge of real analysis and functional analysis. The results discussed here are adapted from Calderón–Zygmund [22–25, 28] and Tanabe [166, 167].

Suggested Citation

  • Kazuaki Taira, 2024. "Elements of Singular Integrals," Springer Books, in: Real Analysis Methods for Markov Processes, chapter 0, pages 277-380, Springer.
    • Handle: RePEc:spr:sprchp:978-981-97-3659-1_9
    DOI: 10.1007/978-981-97-3659-1_9
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