scholarly journals Multipliers

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1277-1283 ◽  
Author(s):  
Miroljub Jevtic
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Mixed Norm ◽  
Bounded Analytic Functions ◽  
Mixed Norm Spaces ◽  
Spaces Of Analytic Functions

We describe the multiplier spaces (Hp,q,?,H?), and (Hp,q,?,H?,v,?), where Hp,q,? are mixed norm spaces of analytic functions in the unit disk D and H? is the space of bounded analytic functions in D. We extend some results from [7] and [3], particularly Theorem 4.3 in [3].

scholarly journals Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces

2017 ◽  
Vol 20 (5) ◽  
Author(s):  
Alexey Karapetyants ◽  
Stefan Samko
Keyword(s):  
Analytic Functions ◽  
Fractional Derivatives ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Hardy Type ◽  
Type Spaces ◽  
Generalized Fractional Derivatives ◽  
Definition Of ◽  
Derivatives Of ◽  
Spaces Of Analytic Functions

AbstractThe aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions 𝓐

scholarly journals QKtype spaces of analytic functions

2006 ◽  
Vol 4 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Hasi Wulan ◽  
Jizhen Zhou
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Nondecreasing Function ◽  
Necessary And Sufficient Conditions ◽  
Type Space ◽  
Necessary And Sufficient ◽  
Spaces Of Analytic Functions

For a nondecreasing functionK:[0,8)?[0,8)and0<p<8,-2<q<8, we introduceQK(p,q), aQKtype space of functions analytic in the unit disk and study the characterizations ofQK(p,q). Necessary and sufficient conditions onKsuch thatQK(p,q)become some known spaces are given.

scholarly journals Area Nevanlinna Type Classes of Analytic Functions in the Unit Disk and Related Spaces

2018 ◽  
Vol 26 (1) ◽  
pp. 47-76
Author(s):  
Romi Shamoyan ◽  
Seraphim Maksakov
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Zero Sets ◽  
Recent Advances ◽  
Type Classes ◽  
Spaces Of Analytic Functions

Abstract The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concern- ing zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.

scholarly journals The Bloch space and Besov spaces of analytic functions

1996 ◽  
Vol 54 (2) ◽  
pp. 211-219 ◽  
Author(s):  
Karel Stroethoff
Keyword(s):  
Unit Disk ◽  
Complex Plane ◽  
Besov Spaces ◽  
Analytic Functions ◽  
Elementary Proof ◽  
Bloch Space ◽  
Little Bloch Space ◽  
Spaces Of Analytic Functions

We shall give an elementary proof of a characterisation for the Bloch space due to Holland and Walsh, and obtain analogous characterisations for the little Bloch space and Besov spaces of analytic functions on the unit disk in the complex plane.

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