Cover Image

Families of functions with equal-power absolutely continuous integrals

The approximation of functions from Hardy classes by bounded analytic functions is investigated. A theorem is proved, characterizing the sets of functions with equiabsolutely continuous integrals as limit points of the family of bounded subsets of the space Н∞.

Saved in:

Bibliographic Details
Date:	1992
Main Authors:	Dovgoshei , A. A., Довгошей , А. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7830
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

On integral representations in the Hardi classes and on the best approximations in some functional spaces
by: Dovgoshei , A. A., et al.
Published: (1991)

Measurable Functionals and Finitely Absolutely Continuous Measures on Banach Spaces
by: Dorogovtsev, A. A., et al.
Published: (2000)

Authentication of Continuous Function is in Unidimensional Parabolic Equalization
by: N. A. Volodin, et al.
Published: (2013)

Approximation for absolutely continuous functions by Stancu Beta operators
by: Zeng, Xiao Ming, et al.
Published: (2011)

Approximation for absolutely continuous functions by Stancu Beta operators
by: Xiao-Ming Zeng
Published: (2011)

Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions
by: Dovgoshei, A. A., et al.
Published: (2003)

On the absolute continuity of mappings distorting the moduli of cylinders
by: Salimov, R. R., et al.
Published: (2017)

On Bijective Continuous Images of Absolute Null Sets
by: Kharazishvili, A. B., et al.
Published: (2015)

On Bijective Continuous Images of Absolute Null Sets
by: Kharazishvili, A.
Published: (2015)

On Bijective Continuous Images of Absolute Null Sets
by: A. B. Kharazishvili
Published: (2015)

On the absolute continuity of mappings distorting the moduli of cylinders
by: R. R. Salimov, et al.
Published: (2017)

Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions
by: Dovgoshei, A. A., et al.
Published: (1996)

Some properties of polynomials orthogonal in a space with “intermediate” topology. Kernel function and extremal properties
by: Dovgoshei, A. A., et al.
Published: (1993)

On Fourier multipliers and absolute convergence of Fourier integrals of radial functions
by: Trigub, R. M., et al.
Published: (2010)

Condition for intersection occupation measure to be absolutely continuous
by: X. Chen
Published: (2020)

Finite absolute continuity on an abstract Wiener space
by: G. V. Riabov
Published: (2011)

Condition for intersection occupation measure to be absolutely continuous
by: Chen, X., et al.
Published: (2020)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
by: A. N. Syrovatsky
Published: (2013)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
by: Syrovatsky, A.N.
Published: (2013)

On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)

Finite absolute continuity of Gaussian measures on infinite-dimensional spaces
by: Ryabov, G. V., et al.
Published: (2008)

Transfer of absolute continuity by a flow generated by a stochastic equation with reflection
by: Pilipenko, A. Yu., et al.
Published: (2006)

Expansion of a Self-Adjoint Absolutely Continuous Singular Integral Operator in Generalized Eigenvectors and Its Diagonalization
by: Vorob'ev, I. V., et al.
Published: (2003)

On universality of countable powers of absolute retracts
by: Banakh, T. O., et al.
Published: (1996)

On universality of countable powers of absolute retracts
by: Банах, Т.О., et al.
Published: (1996)

Continuity with respect to initial data and absolute-continuity approach to the first-order regularity of nonlinear diffusions on noncompact manifolds
by: Antoniouk, A.Val., et al.
Published: (2008)

Continuity with respect to initial data and absolute-continuity approach to the first-order regularity of nonlinear diffusions on noncompact manifolds
by: Antoniouk, A. Val., et al.
Published: (2008)

Exact equalities for approximation of functions from the Sobolev class by their generalized Poisson integrals
by: Ju. I. Kharkevich
Published: (2021)

On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis
by: Beltraminelli, S., et al.
Published: (2012)

On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis
by: Sekatskii, S.K., et al.
Published: (2012)

Uniform estimates of integral strong average derivations of continuous functions by integral functions
by: Pachulia , N. L., et al.
Published: (2025)

Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure
by: Dovgoshei, A. A., et al.
Published: (2001)

On extremal problems on classes of functions defined by integral moduli of continuity
by: Ligun, A. A., et al.
Published: (1997)

Approximation of Densities of Absolutely Continuous Components of Measures in a Hilbert Space Using the Ornstein-Uhlenbeck Semigroup
by: Rudenko, A. V., et al.
Published: (2004)

Interpolation of nonlinear functionals by integral continued fractions
by: Mykhal'chuk, B. R., et al.
Published: (1999)

Continual sets with the Dirichlet properties and products of Hardy spaces
by: Dovgoshey, A. A., et al.
Published: (1992)

On Piecewise-Constant Approximation of Continuous Functions of n Variables in Integral Metrics
by: Bel'skii, S. A., et al.
Published: (2002)

On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Khasanov, Yu., et al.
Published: (2013)

Best Uniform Approximation of a Family of Functions Continuous on a Compact Set
by: Hnatyuk, Yu. V., et al.
Published: (2002)

Some simplest integral equalities equivalent to the Riemann hypothesis
by: S. K. Sekatskii, et al.
Published: (2022)