THE PROBLEM OF EMBEDDING IN FUNCTIONAL  CLASSES

R.V. DALLAKYAN

THE PROBLEM OF EMBEDDING IN FUNCTIONAL CLASSES

Authors

R.V. DALLAKYAN National Polytechnic University of Armenia Vanadzor Branch Author

Keywords:

lacunar series, space with a mixed norm, Hardy, Jrbashyan, Bergman, Bloch spaces

Abstract

First of all, it is proved that each function from the class which is presented by lacunar series belongs to Bloch's small class . For the function of the class, the problem of embedding is solved.

Further, the main result is given: the theorem of embedding the functional classes .

Downloads

pdf

Published

30.03.2026

Issue

Vol. 1 (2021)

Section

Articles

Most read articles by the same author(s)

R.V. DALLAKYAN , ZEROS OF ANALYTIC FUNCTIONS IN A UNIT CIRCLE WITH THE FINITE DIRICHLET INTEGRAL , Proceedings of Annual Conferences of NPUA: Vol. 1 (2019)
R.V. DALLAKYAN , BLASCHKE’S PRODUCTS, WHOSE ZEROS APPROACH A UNIT CIRCLE BY THE TANGENT DIRECTIONS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2023)
R.V. DALLAKYAN , A SET OF ZEROES OF THE DIRICHLET TYPE CLASSES , Proceedings of Annual Conferences of NPUA: Vol. 1 (2024)
R.V. DALLAKYAN , AN ANALOGUE OF ONE AHERN THEOREM , Proceedings of Annual Conferences of NPUA: Vol. 1 (2020)

Similar Articles

S.A. EPISKOPOSYAN, T.M. SAGHATELYAN, THE EXISTENCE OF UNIVERSAL SERIES BY THE CHRESTENSON - LEVY SYSTEM IN WEIGHTED SPACES , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)
P.A. MATEVOSYAN, DESCRIPTION OF LINEAR CONTINUOUS FUNCTIONALS IN THE SPACE A_α^* , Proceedings of Annual Conferences of NPUA: Vol. 1 (2022)
S.A. EPISKOPOSYAN, T.M. SAGHATELYAN, CONVERGENCE OF DOUBLE CHRESTENSON - LEVY'S SERIES BY 〖 L〗^∞ [0,1)┤^2 NORMS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2018)
H.M. HAYRAPETYAN, A.D. OHANYAN, A BOUNDARY VALUE PROBLEM WITH AN INFINITE INDEX IN THE HALF-PLANE , Proceedings of Annual Conferences of NPUA: Vol. 1 (2020)
V.A. MIRZOYAN, G.S. MACHKALYAN, A.R. NAZARYAN, GEOMETRY OF THE TWO CLASSES OF RICCI-SEMISYMETRIC SUBMANIFOLDS OF CODIMENSIONALITY THREE IN EUCLIDEAN SPACES , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)
A.R. MELIKSETYAN, THE INFLUENCE AND ROLE OF LIGHTING DEVICES IN THE DESIGN PROCESS OF YEREVAN METRO STATIONS , Proceedings of Annual Conferences of NPUA: Vol. 2 (2025)
V.A. MIRZOYAN, PROPERTIES OF SUBMANIFOLDS WITH PARALLEL AND SEMI-PARALLEL FUNDAMENTAL FORMS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2022)
A.R. HOVHANNISYAN, S.A. KYUREGHYAN, RESEARCH OF WEAR - RESISTANCE OF THREE-COMPONENT MIXED FABRICS , Proceedings of Annual Conferences of NPUA: Vol. 2 (2022)
A.R. HOVHANNISYAN, Z.A. MINASYAN, AN INSTALLATION FOR INVESTIGATING THE MIXED FABRIC STRETCHING DEFORMATION , Proceedings of Annual Conferences of NPUA: Vol. 2 (2020)
A.R. HOVHANNISYAN, RESEARCH OF WATER ABSORPTION OF MIXED TISSUE OF DIFFERENT FIBER COMPOSITION , Proceedings of Annual Conferences of NPUA: Vol. 1 (2021)

1-10 of 58 Next

You may also start an advanced similarity search for this article.