Results 31 to 40 of about 76 (75)

The Lusin-Privalov theorem for subharmonic functions [PDF]

Proceedings of the American Mathematical Society, 1996
This paper establishes a generalization of the Lusin-Privalov radial uniqueness theorem which applies to subharmonic functions in all dimensions. In particular, it answers a question of Rippon by showing that no subharmonic function on the upper half-space can have normal limit
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Lusin type theorems for Radon measures [PDF]

Rendiconti del Seminario Matematico della Università di Padova, 2017
We add to the literature the following observation. If \mu is a singular measure on \mathbb{R}^n which assigns measure zero to every porous set and
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ON LUSIN'S THEOREM IN THE ASPECT OF SMALL SYSTEMS

Demonstratio Mathematica, 1995
Let \(S\) be a \(\sigma\)-algebra of subsets of a set \(X\). By a small system a sequence of families \((N_n)_n\subset S\) satisfying some axioms is understood. If \(m\) is a positive measure, then the family \(N_n\) of all sets of a measure less than \(1/n\) can serve as an example.
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Further Results on Lusin’s Theorem for Uncertain Variables

Symmetry
In order to treat the degree of belief rationally, Baoding Liu created uncertainty theory. An uncertain variable, as a measurable function from an uncertainty space to the set of real numbers, is a basic concept in uncertainty theory. It is very meaningful to study its properties.
Deguo Yang, Zhaojun Zong, Feng Hu 0002
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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., Kkosheghbal-Ghorabayi, M.   +1 more
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An analog of the Lusin-Privaloff radial uniqueness theorem [PDF]

Proceedings of the American Mathematical Society, 1970
1. Let D={IzI 0 for each subarc A' of A. Barth and Schneider have proved the following analog of the F. and M. Riesz uniqueness theorem for bounded holomorphic functions.
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A refined Lusin type theorem for gradients

Journal of Functional Analysis
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field $f$ coincides with the gradient of a $C^1$ function $g$, outside a set $E$ of arbitrarily small Lebesgue measure. We replace the Lebesgue measure with any Radon measure $μ$, and we obtain that the estimate on the $L^p$ norm of ...
Luigi De Masi, Andrea Marchese
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MEASURES ORTHOGONAL TO POLYNOMIALS. [PDF]

Proc Natl Acad Sci U S A, 1958
Bishop E.
europepmc   +1 more source

Sufficient conditions for a family of probabilities to be exponential. [PDF]

Proc Natl Acad Sci U S A, 1967
Denny JL.
europepmc   +1 more source

CESARO SUMMABILITY OF WALSH-FOURIER SERIES. [PDF]

Proc Natl Acad Sci U S A, 1955
Fine NJ.
europepmc   +1 more source