Cover Image

Differentiability of integrals of real functions with respect to $L_0$-valued measures

We obtain conditions for the convergence of expressions $(\mu (A))^{ - 1} \smallint _A fd\mu$ in $L_0$ as the set $A$ decreases.

Saved in:

Bibliographic Details
Date:	1999
Main Authors:	Radchenko, V. N., Радченко, В. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4762
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Integrals of certain random functions with respect to general random measures
by: Radchenko, V. N., et al.
Published: (1999)

Uniform integrabblity and the lebesgue theorem on convergence in $L_0$-valued measures
by: Radchenko, V. N., et al.
Published: (1996)

Optimization of approximate integration of set-valued functions monotone with respect to inclusion
by: Babenko, V. V., et al.
Published: (2011)

On the existence of a measurable function with given values of the best approximations in $L_0$
by: Pichugov, S. A., et al.
Published: (1996)

Stochastic Integrals with Respect to Consistent Random Measures
by: Dorogovtsev, A. A., et al.
Published: (2000)

Optimization of interval formulas for approximate integration of set-valued functions monotone with respect to inclusion
by: Babenko, V. V., et al.
Published: (2011)

Heat equation and wave equation with general stochastic measures
by: Radchenko, V. N., et al.
Published: (2008)

On differential properties of real functions
by: Ilmuradov, D. D., et al.
Published: (1994)

On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure
by: Berezhnoy, V.
Published: (2008)

Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative
by: Prosenyuk, L. G., et al.
Published: (1993)

Nonlinear integro-differential boundary-value problems unsolvable with respect to the derivative
by: S. M. Chuiko, et al.
Published: (2021)

Boundary-value problems for differential equations unsolvable with respect to the higher time derivative
by: Komarnyts'ka, L. I., et al.
Published: (1995)

Topological stability of functions with respect to averagings by measures with piecewise constant densities
by: S. I. Maksymenko, et al.
Published: (2015)

Almost everywhere convergence of $T$ means with respect to the Vilenkin system of integrable functions
by: Nadirashvili, N., et al.
Published: (2023)

Almost everywhere convergence of T means with respect to the Vilenkin system of integrable functions
by: N. Nadirashvili
Published: (2023)

Approximation of locally integrable functions on the real line
by: Stepanets, O. I., et al.
Published: (1999)

On behaviour of integral functions represented by the Dirichlet series on the real axis
by: Vinnitsky , В. V., et al.
Published: (2025)

On Measure-Valued Processes Generated by Differential Equations
by: Feshchenko, O. Yu., et al.
Published: (2003)

Invariant measures with respect to the mapping of the segment on itself
by: I. L. Nizhnik, et al.
Published: (2015)

Optimization of quadratures on classes of functions given by differential operators with Real Spectra
by: Babenko, V. V., et al.
Published: (1996)

Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
by: Kalchuk, I. V., et al.
Published: (2007)

Continuity with respect to a parameter of Green functions of multipoint boundary values problems
by: G. Chekhanova
Published: (2013)

Asymptotics of the fundamental system of solutions of a linear functional-differential equation with respect to a parameter
by: Radzievskii, G. V., et al.
Published: (1995)

The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space
by: Bogdanskii, Yu. V., et al.
Published: (2014)

Laplacian with respect to a measure on a Hilbert space and an L 2-version of the Dirichlet problem for the Poisson equation
by: Bogdanskii, Yu. V., et al.
Published: (2011)

Bojanov – Naidenov problem for the differentiable functions on the real line and the inequalities of various metrics
by: Kofanov, V. A., et al.
Published: (2019)

Criterion of continuity with respect to parameter of solutions of boundary-value problems for systems of higher-order differential equations
by: O. O. Murach, et al.
Published: (2016)

Nonlocal boundary-value problem for linear partial differential equations unsolved with respect to the higher time derivative
by: Vlasii, O. D., et al.
Published: (2007)

Maximum principle for the Laplacian with respect to the measure in a domain of the Hilbert space
by: Bogdanskii, Yu. V., et al.
Published: (2016)

Laplacian with respect to the measure on a Riemannian manifold and the Dirichlet problem. II
by: Bogdanskii, Yu. V., et al.
Published: (2016)

Laplacian with respect to measure on a Riemannian manifold and Dirichlet problem. I
by: Bogdanskii, Yu. V., et al.
Published: (2016)

On stability of singular Cauchy integral with respect to perturbation of the curve of integration
by: O. S. Plaksa, et al.
Published: (2015)

Nonlinear boundary-value problems unsolved with respect to the derivative
by: Samoilenko, A. M., et al.
Published: (2020)

Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
by: Serbenyuk, S.O.
Published: (2018)

Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions
by: F. H. Abdullaiev, et al.
Published: (2019)

Isometry of the subspacesof solutions of systems of differential equations to the spaces of real functions
by: Imash kyzy, M., et al.
Published: (2019)

Nonlinear boundary-value problems unsolved with respect to the derivative
by: A. M. Samoilenko, et al.
Published: (2020)

A singular Cauchy problem for an ordinary differential equation not solved with respect to the derivative of the unknown function
by: A. E. Zernov, et al.
Published: (2017)

The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space
by: Ju. V. Bogdanskij, et al.
Published: (2014)

On stability of a system with fractional derivatives with respect to two measures
by: A. A. Martynjuk
Published: (2015)