Some characterizations of harmonic Bloch and Besov spaces

Title:

Some characterizations of harmonic Bloch and Besov spaces

Creator:

Fu, Xi and Lu, Bowen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0a3d538b-029a-4097-b1a3-39b08a9e9126
uuid:0a3d538b-029a-4097-b1a3-39b08a9e9126
issn:0011-4642

Subject:

matematika, funkce, mathematics, functions, harmonic function, Bloch space, Besov space, majorant, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic ω-α-Bloch space and characterize it in terms of \omega \left( {{{\left( {1 - {{\left| x \right|}^2}} \right)}^\beta }{{\left( {1 - {{\left| y \right|}^2}} \right)}^{\alpha - \beta }}} \right)\left| {\frac{{f\left( x \right) - f\left( y \right)}}{{x - y}}} \right| and \omega \left( {{{\left( {1 - {{\left| x \right|}^2}} \right)}^\beta }{{\left( {1 - {{\left| y \right|}^2}} \right)}^{\alpha - \beta }}} \right)\left| {\frac{{f\left( x \right) - f\left( y \right)}}{{\left| x \right|y - x'}}} \right| where ω is a majorant. Similar results are extended to harmonic little ω-α-Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G.Ren, U.Kähler (2005)., Xi Fu, Bowen Lu., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

417-430

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false