Object

Title: A Note on Holomorphic Spaces Defined with the Help of Luzin Cone and Area Integral

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2008

Volume:

1

Number:

4

ISSN:

1829-1163

Official URL:


Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

32-43

Abstract:

The goal of this note is to introduce a new approach to a known problem of finding estimates for ``analytic quazinorms" with Luzin area integral or Luzin cone $\Gamma_\alpha(\xi)$ in them, namely we use new connections between Luzin Area integral and $p$-Carleson measures and apply classical interpolation theorems of real analysis to get various new inequalities for analytic functions in the unit disk and polydisk.

Publisher:

National Academy of Sciences of Armenia

Date created:

2009-01-08

Format:

pdf

Identifier:

oai:arar.sci.am:13218

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

Number of object content hits:

16

All available object's versions:

https://arar.sci.am/publication/14913

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