Buchumschlag

On integral representations in the Hardi classes and on the best approximations in some functional spaces

For the case of a simply connected domain in the plane one proves necessary and sufficient conditions for the representation of functions of the Hardy class $H^1$ by an integral with respect to the harmonic measure of its boundary values. A theorem is given, characterizing the rate of decrease of th...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	1991
Hauptverfasser:	Dovgoshei , A. A., Довгошей , А. А.
Format:	Artikel
Sprache:	Russisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1991
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/9613
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$
von: Savchuk, V. V., et al.
Veröffentlicht: (2003)

On the best polynomial approximation in the space L2 and widths of some classes of functions
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2012)

Best linear methods of approximation and optimal orthonormal systems of the Hardy space
von: Savchuk, V. V., et al.
Veröffentlicht: (2008)

Best Polynomial Approximations in $L_2$ and Widths of Some Classes of Functions
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2004)

Approximation by fourier sums and best approximations on classes of analytic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2000)

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

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
von: Serdyuk, A. S., et al.
Veröffentlicht: (2014)

Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
von: Savchuk, V. V., et al.
Veröffentlicht: (2007)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
von: A. S. Serdiuk, et al.
Veröffentlicht: (2014)

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
von: Langarshoev, M. R., et al.
Veröffentlicht: (2015)

Best Bilinear Approximations for the Classes of Functions of Many Variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (2013)

Estimates for the best asymmetric approximations of asymmetric classes of functions
von: Motornyi, V. P., et al.
Veröffentlicht: (2011)

Widths and best approximations for classes of convolutions of periodic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (1999)

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{ω_p}$ in the metrics of the spaces $L_p$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2010)

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

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
von: M. R. Langarshoev
Veröffentlicht: (2015)

On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
von: Serdyuk, A. S., et al.
Veröffentlicht: (1995)

Best Bilinear Approximations for the Classes of Functions of Many Variables
von: A. S. Romanjuk, et al.
Veröffentlicht: (2013)

Best bilinear approximations of functions from Nikolskii-Besov classes
von: Romanyuk, A. S., et al.
Veröffentlicht: (2012)

Best M-term trigonometric approximations of the classes of periodic functions of many variables in the space Lq
von: Konohrai, A. F., et al.
Veröffentlicht: (2008)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space $B_{1,1}$
von: Romanyuk, A. S., et al.
Veröffentlicht: (2021)

Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
von: T. A. Stepaniuk
Veröffentlicht: (2014)

Families of functions with equal-power absolutely continuous integrals
von: Dovgoshei , A. A., et al.
Veröffentlicht: (1992)

The Best Approximation of Function Classes Generated by Composite Kernels
von: Сорич, Віктор, et al.
Veröffentlicht: (2025)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space B1,1
von: A. S. Romaniuk, et al.
Veröffentlicht: (2021)

Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (1995)

On the best quadrature formulas for some classes of continuous functions
von: Polyakov, O. V., et al.
Veröffentlicht: (1998)

On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk
von: Shamoyan, R. F., et al.
Veröffentlicht: (2003)

Best approximation by ridge functions in Lp-spaces
von: Maiorov, V.E.
Veröffentlicht: (2010)

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

The best approximations of the classes of functions preset by means of the continuity modulus
von: Babenko , V. F., et al.
Veröffentlicht: (1992)

On rational functions of the best nonsymmetric approximations in integral metrics
von: Polyakov, O. V., et al.
Veröffentlicht: (2012)

Best approximations of periodic functions in generalized lebesgue spaces
von: Chaichenko, S. O., et al.
Veröffentlicht: (2012)

Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

On best nonsymmetric L1-approximations of some classes of convolutions with generalized splines
von: I. A. Shevchenko
Veröffentlicht: (2015)

On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (1995)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (1993)

On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2014)

Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2013)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2015)