• Thumbnail for Antoni Zygmund
    Antoni Zygmund (December 26, 1900 – May 30, 1992) was a Polish mathematician. He worked mostly in the area of mathematical analysis, including especially...
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  • In mathematics, the Marcinkiewicz–Zygmund inequality, named after Józef Marcinkiewicz and Antoni Zygmund, gives relations between moments of a collection...
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  • integrals. It is named for the mathematicians Alberto Calderón and Antoni Zygmund. Given an integrable function  f  : Rd → C, where Rd denotes Euclidean...
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  • its first two moments. The inequality was proved by Raymond Paley and Antoni Zygmund. Theorem: If Z ≥ 0 is a random variable with finite variance, and if...
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  • operators, fundamental new techniques, introduced by Alberto Calderón and Antoni Zygmund in 1952, were developed by a number of authors to give general criteria...
    70 KB (12,876 words) - 17:56, 1 August 2023
  • 1954 and his Doctor of Philosophy degree in 1958, under supervision of Antoni Zygmund. The title of his doctoral thesis was Topics in the Theory of Uniqueness...
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  • the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the...
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  • Mathematician Antoni Zygmund co-founded the school with his doctoral student Alberto Calderón at the University of Chicago in the 1950s. Over the years, Zygmund mentored...
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  • functions whose Fourier series converges pointwise but not uniformly; see Antoni Zygmund, Trigonometric Series, vol. 1, Chapter 8, Theorem 1.13, p. 300. However...
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  • Thumbnail for Józef Marcinkiewicz
    1940 in Kharkiv, USSR) was a Polish mathematician. He was a student of Antoni Zygmund; and later worked with Juliusz Schauder, Stefan Kaczmarz and Raphaël...
    6 KB (476 words) - 11:05, 2 August 2023