Some Applications of Martingale Techniques in Harmonic Analysis
Ruilin Long
Chapter 8 in Martingale Spaces and Inequalities, 1993, pp 313-336 from Springer
Abstract:
Abstract As we mentioned in the preface of the book, Martingale Theory played a remarkable role in the development of Harmonic Analysis. It mainly means that Martingale Theory was one of the sources providing new ideas and methods to the latter. Many good examples showing this could not be put in the book because of the limitation from author’s interests and book’s space. Here we just take two examples to show such significance of Martingale Theory.
Keywords: Conditional Expectation; Complex Measure; Singular Integral Operator; Martingale Theory; Martingale Approach (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-322-99266-6_8
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DOI: 10.1007/978-3-322-99266-6_8
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