Cover Image

Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane

For an arbitrary Jordan domain $G$ one establishes an estimate of the norm of the operator of harmonic conjugation in spaces of harmonic polynomials of degree at most $n, n = 1, 2,\dots$.

Saved in:

Bibliographic Details
Date:	1990
Main Authors:	Maimeskul, V. V., Маймескул, В. В.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1990
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8834
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

Quasianalytic classes of functions on a plane
by: Maimeskul, V. V., et al.
Published: (1993)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)

On conjugate pseudo-harmonic functions
by: Polulyakh, Ye.
Published: (2009)

On the boundary behavior of conjugate harmonic functions
by: Ryazanov, V.I.
Published: (2017)

On the boundary behavior of conjugate harmonic functions
by: V. I. Ryazanov
Published: (2017)

Pointwise estimation of sign-preserving polynomial approximation on arcs in the complex plane
by: M. V. Shchehlov
Published: (2022)

Pointwise estimation of sign-preserving polynomial approximation on arcs in the complex plane
by: Shchehlov, M. V., et al.
Published: (2022)

On the continuity of harmonically conjugated functions in the Jordan domains
by: Pritsker, I. E., et al.
Published: (1992)

Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$
by: Adamov, A. N., et al.
Published: (2009)

Approximation of conjugate periodic functions by their three-harmonic Poisson integrals
by: U. Z. Grabova
Published: (2020)

Bernstein–Nikolskii-type inequalities for algebraic polynomials in the Bergman space in regions of the complex plane
by: F. H. Abdullaiev, et al.
Published: (2021)

Bernstein – Nikolskii-type inequalities for algebraic polynomials in the Bergman space in regions of the complex plane
by: Аbdullayev, F. G., et al.
Published: (2021)

Some estimates for extremal decomposition of the complex plane
by: I. V. Denega
Published: (2018)

Topological equivalence of harmonic polynomials
by: V. V. Sharko
Published: (2013)

Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
by: Bertola, M., et al.
Published: (2018)

Estimates of products of inner radii of regions in the problem of extremal decomposition of the complex plane
by: H. P. Bakhtina, et al.
Published: (2015)

On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I
by: Abdullayev, F. G., et al.
Published: (2000)

On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
by: Abdullayev, F. G., et al.
Published: (2001)

On the rate of rational approximation of functions on tangent continua
by: Maimeskul, V. V., et al.
Published: (1993)

On the Hayman-Wu theorem for quasilines
by: Maimeskul, V. V., et al.
Published: (1996)

On $J$-property of the Jordanian arcs
by: Maimeskul, V. V., et al.
Published: (1988)

On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. III
by: Abdullayev, G.A.
Published: (2001)

On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. III
by: Abdullayev, G. A., et al.
Published: (2001)

Estimations of plane capacitor capacitances
by: Zoriy , N. V., et al.
Published: (2025)

Ladder Operators for Lamé Spheroconal Harmonic Polynomials
by: Méndez-Fragoso, R., et al.
Published: (2012)

Estimates of the products of inner radii for partially nonoverlapping domains of the complex plane
by: Ja. Dvorak
Published: (2018)

On the approximation and growth of entire harmonic functions in Rn
by: O. V. Veselovska
Published: (2018)

Exact estimates of products of internal radii of non-overlapping domains in the complex plane
by: A. K. Bakhtin, et al.
Published: (2015)

Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane
by: O. D. Trofymenko
Published: (2020)

On the Bernstein - Walsh-type lemmas in regions of the complex plane
by: Abdullayev, F.G., et al.
Published: (2011)

On the Bernstein - Walsh-type lemmas in regions of the complex plane
by: Abdullayev, F. G., et al.
Published: (2011)

On the approximation and growth of entire harmonic functions in $R_n$
by: Veselovskaya, O. V., et al.
Published: (2018)

Uniform estimates for monotonic polynomial approximation
by: Dzyubenko, H. A., et al.
Published: (1993)

Planing of complex of merchandising
by: L. O. Nesterenko
Published: (2009)

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

On semilinear equations in the complex plane
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2019)

Selective estimation of three-phase current harmonics
by: S. M. Peresada, et al.
Published: (2020)

On semilinear equations in the complex plane
by: Ya. Gutlyanskiĭ, et al.
Published: (2019)

On the regular growth of Dirichlet series absolutely convergent in a half-plane
by: Stets', Yu. V., et al.
Published: (2011)

Leavitt inverse semigroups of polynomial growth
by: Bezushchak, Dmytro I.
Published: (2024)