Results 21 to 30 of about 84 (62)
Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
wiley +1 more source
International Journal of Stochastic Analysis, Volume 10, Issue 1, Page 3-20, 1997., 1996 We prove the almost sure representation, a law of the iterated logarithm and an invariance principle for the statistic for a class of strongly mixing sequences of random variables {Xi, i ≥ 1}. Stationarity is not assumed. Here is the perturbed empirical distribution function and Un is a U‐statistic based on X1, …, Xn.
Shan Sun, Ching-Yuan Chiang
wiley +1 more source
Fundamental theorem of Wiener calculus
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 443-452, 1990., 1990 In this paper we define and develop a theory of differentiation in Wiener space C[0, T]. We then proceed to establish a fundamental theorem of the integral calculus for C[0, T]. First of all, we show that the derivative of the indefinite Wiener integral exists and equals the integrand functional.
Chull Park +2 more
wiley +1 more source
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
On rectifiable measures in Carnot groups: representation. [PDF]
Calc Var Partial Differ Equ, 2022 Antonelli G, Merlo A.
europepmc +1 more source
An extension of Eegoroff’s and Lusin’s theorems in operator-valued case
Filomat, 2018 Here, we extend three basic facts from classical measure theory to operator-valued case. At first we show that operator-valued measurable functions may be approximated by simple ones. In the sequel, two fundamental theorems Egoroff and Lusin are extended in operator-valued case.
Bagheri-Bardi, G. A. +1 more
openaire +2 more sources
The Egoroff Theorem for Operator-Valued Measures in Locally Convex Spaces
, 2011 The Egoroff theorem for measurable $\bold X$-valued functions and operator-valued measures $\bold m: Σ\to L(\bold X, \bold Y)$, where $Σ$ is a $σ$-algebra of subsets of $T \neq \emptyset$ and $\bold X$, $\bold Y$ are both locally convex spaces, is proved. The measure is supposed to be atomic and the convergence of functions is net.
Haluska, Jan, Hutnik, Ondrej
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On the Independence of a Generalized Statement of Egoroff's Theorem from ZFC after T. Weiss
Real Analysis Exchange, 2007 6 ...
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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.
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Addendum To a Note on Egoroffs Theorem [PDF]
Journal of the London Mathematical Society, 1960 openaire +1 more source