BASICITY OF SOME BIORTHOGONAL SYSTEMS AND THE SOLUTION OF A MULTIPLE INTERPOLATION PROBLEM IN THE $ H^p$ CLASSES IN THE HALF-PLANE

1979 ◽  
Vol 13 (3) ◽  
pp. 589-646
Author(s):  
M M Džrbašjan
Keyword(s):  
Half Plane ◽  
Interpolation Problem ◽  
Biorthogonal Systems ◽  
Multiple Interpolation

scholarly journals Problem of multiple interpolation in class of analytical functions of zero order in half-plane

2014 ◽  
Vol 6 (1) ◽  
pp. 18-28 ◽  
Author(s):  
Oksana Anatol'evna Bozhenko ◽  
Konstantin Gennadyevich Malyutin
Keyword(s):  
Half Plane ◽  
Zero Order ◽  
Analytical Functions ◽  
Multiple Interpolation

Multiple Interpolation by the Functions of Finite Order in the Half-plane. II

2021 ◽  
Vol 42 (4) ◽  
pp. 811-822
Author(s):  
K. Malyutin ◽  
M. Kabanko ◽  
I. Kozlova
Keyword(s):  
Finite Order ◽  
Half Plane ◽  
Multiple Interpolation

scholarly journals On an interpolation problem in the class of functions of exponential type in a half-plane

2019 ◽  
Vol 11 (1) ◽  
pp. 19-26
Author(s):  
Bogdan Vasil'evich Vinnitskii ◽  
Vladimir Luk'yanovich Sharan ◽  
Irina Bogdanovna Sheparovich
Keyword(s):  
Half Plane ◽  
Exponential Type ◽  
Interpolation Problem ◽  
Functions Of Exponential Type ◽  
Class Of Functions

scholarly journals Multiple interpolation in the Privalov classes in a disk

Filomat ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 271-286
Author(s):  
Eugenia Gennad’evna Rodikova
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Interpolation Problem ◽  
Sufficient Conditions ◽  
Explicit Construction ◽  
Multiple Interpolation

For all 0 < q < +? the Privalov class ?q consists of all analytic functions f in a unit disk such that sup 0?r<1 1/2? ??,-? (ln+ |f(rei?)|)q d?< +?. In this paper we solve a multiple interpolation problem in the class ?q for all 0 < q < 1. Namely, we find the sufficient conditions for the explicit construction of the function that solves the interpolation problem in the Privalov class. In addition, we discuss the necessity of these conditions.

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