particularly in functional analysis, the Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of...
9 KB (1,488 words) - 16:48, 27 March 2025
Józef Marcinkiewicz (Polish pronunciation: [ˈjuzɛf mart͡ɕinˈkʲjɛvit͡ʂ]; 30 March 1910 in Cimoszka, near Białystok, Poland – 1940 in Kharkiv, USSR) was...
6 KB (476 words) - 14:49, 14 December 2024
Interpolation theorem may refer to: Craig interpolation in logic Marcinkiewicz interpolation theorem about non-linear operators Riesz–Thorin interpolation...
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Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem, is a result about interpolation of operators...
39 KB (6,116 words) - 16:44, 27 March 2025
Multiplier (Fourier analysis) (redirect from Marcinkiewicz multiplier theorem)
multiplier theorem. The proofs of these two theorems are fairly tricky, involving techniques from Calderón–Zygmund theory and the Marcinkiewicz interpolation theorem:...
25 KB (2,817 words) - 04:01, 19 July 2025
as "interpolation of operators". The classical results about interpolation of operators are the Riesz–Thorin theorem and the Marcinkiewicz theorem. There...
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theory of interpolation of vector spaces began by an observation of Józef Marcinkiewicz, later generalized and now known as the Riesz-Thorin theorem. In simple...
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Gagliardo–Nirenberg interpolation inequality Ladyzhenskaya's inequality Landau–Kolmogorov inequality Marcinkiewicz interpolation theorem Nash's inequality...
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Hardy–Littlewood maximal function (redirect from Hardy-Littlewood maximal theorem)
strong-type estimate is an immediate consequence of the Marcinkiewicz interpolation theorem: Theorem (Strong Type Estimate). For d ≥ 1, 1 < p ≤ ∞, and f ∈ Lp(Rd)...
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uses the L p , w {\displaystyle L^{p,w}} -spaces is the Marcinkiewicz interpolation theorem, which has broad applications to harmonic analysis and the...
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Compactness theorem (mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical...
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Autocorrelation Autocovariance Whittaker–Shannon interpolation formula Gabor atom Marcinkiewicz theorem Nyquist–Shannon sampling theorem Riesz–Thorin theorem...
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Fourier transform (redirect from Fourier shift theorem)
defined on L p ( R ) {\displaystyle L^{p}(\mathbb {R} )} by Marcinkiewicz interpolation, which amounts to decomposing such functions into a fat tail...
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operator from L1 to the space of functions of weak L1. The Marcinkiewicz interpolation theorem and duality then implies that the singular integral operator...
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Kolmogorov's inequality Kunita–Watanabe inequality Le Cam's theorem Lenglart's inequality Marcinkiewicz–Zygmund inequality Markov's inequality McDiarmid's inequality...
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Hilbert transform (section Titchmarsh's theorem)
since the Hilbert transform is also a multiplier operator on L2, Marcinkiewicz interpolation and a duality argument furnishes an alternative proof that H...
60 KB (8,169 words) - 19:09, 23 June 2025
Bangdiwala's B Bapat–Beg theorem Bar chart Barabási–Albert model Barber–Johnson diagram Barnard's test Barnardisation Barnes interpolation Bartlett's method...
87 KB (8,280 words) - 18:37, 30 July 2025
Sargent, W. L. C. (1961). "Some analogues and extensions of Marcinkiewicz's interpolation problem". Proceedings of the London Mathematical Society. Third...
16 KB (1,799 words) - 19:40, 22 May 2025