• 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
  • Thumbnail for Józef Marcinkiewicz
    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...
    264 bytes (59 words) - 23:35, 4 March 2021
  • 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 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
  • Thumbnail for Interpolation
    as "interpolation of operators". The classical results about interpolation of operators are the Riesz–Thorin theorem and the Marcinkiewicz theorem. There...
    23 KB (3,039 words) - 00:32, 18 July 2025
  • 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...
    35 KB (5,340 words) - 04:06, 11 February 2025
  • Gagliardo–Nirenberg interpolation inequality Ladyzhenskaya's inequality Landau–Kolmogorov inequality Marcinkiewicz interpolation theorem Nash's inequality...
    7 KB (1,200 words) - 00:32, 18 July 2025
  • 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)...
    11 KB (1,890 words) - 18:21, 11 June 2025
  • uses the L p , w {\displaystyle L^{p,w}} -spaces is the Marcinkiewicz interpolation theorem, which has broad applications to harmonic analysis and the...
    65 KB (12,206 words) - 01:43, 16 July 2025
  • Compactness theorem (mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • Autocorrelation Autocovariance Whittaker–Shannon interpolation formula Gabor atom Marcinkiewicz theorem Nyquist–Shannon sampling theorem Riesz–Thorin theorem...
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  • Thumbnail for Fourier transform
    defined on L p ( R ) {\displaystyle L^{p}(\mathbb {R} )} by Marcinkiewicz interpolation, which amounts to decomposing such functions into a fat tail...
    177 KB (21,320 words) - 20:50, 1 August 2025
  • operator from L1 to the space of functions of weak L1. The Marcinkiewicz interpolation theorem and duality then implies that the singular integral operator...
    70 KB (12,881 words) - 23:11, 6 February 2025
  • Kolmogorov's inequality Kunita–Watanabe inequality Le Cam's theorem Lenglart's inequality Marcinkiewicz–Zygmund inequality Markov's inequality McDiarmid's inequality...
    9 KB (709 words) - 21:10, 14 April 2025
  • 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