Results 31 to 40 of about 85 (70)
Carnot rectifiability and Alberti representations
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract A metric measure space is said to be Carnot‐rectifiable if it can be covered up to a null set by countably many bi‐Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability both in terms of Alberti representations of the measure and in terms of differentiability ...
G. Antonelli, E. Le Donne, A. Merlo
wiley +1 more source
Spaces not distinguishing pointwise and $\mathcal{I}$-quasinormal convergence [PDF]
, 2007 summary:In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of $\mathcal{I}$-quasinormal convergence. We then introduce the notion of $\mathcal{I}QN (\mathcal{I}wQN)$ space as a topological space in which ...
Komisarski, Andrzej +11 more
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Lebesgue's Convergence Theorem of Complex-Valued Function
, 2009 In this article, we formalized Lebesgue’s Convergence theorem of complex-valued function. We proved Lebesgue’s Convergence Theorem of realvalued function using the theorem of extensional real-valued function.
Shidama, Yasunari +2 more
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On Almost Uniform Convergence of Families of Functions
, 1964 In [5] Tolstov showed by a counterexample that Egoroff' s theorem on almost uniform convergence cannot be extended to families of functions (ft(x)}, with t a continuous real parameter.
Elias Zakon
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On Lp Space Formed by Real-Valued Partial Functions
, 2010 This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space.
Yasunari Shidama +5 more
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A stronger noncommutative Egoroff's theorem
, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akemann, Charles A., Bagheri-Bardi, G.A.
openaire +2 more sources
CESARO SUMMABILITY OF WALSH-FOURIER SERIES. [PDF]
Proc Natl Acad Sci U S A, 1955 Fine NJ.
europepmc +1 more source
Remark on the theorem of Egoroff [PDF]
Časopis pro pěstování matematiky, 1977 openaire +2 more sources
Addendum To a Note on Egoroffs Theorem [PDF]
Journal of the London Mathematical Society, 1960 openaire +1 more source
ON EGOROFF'S THEOREM FOR NON-ADDITIVE MULTI MEASURES (Nonlinear Analysis and Convex Analysis) [PDF]
, 2015 渡辺, 俊一, 桑野, 一成
core