Atomic decomposition of predictable martingale Hardy space with variable exponents

Title:

Atomic decomposition of predictable martingale Hardy space with variable exponents

Creator:

Hao, Zhiwei

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b9c1aeaf-7094-426f-94eb-b652eb57f040
uuid:b9c1aeaf-7094-426f-94eb-b652eb57f040
issn:0011-4642

Subject:

matematika, mathematics, variable exponent, atomic decomposition, martingale Hardy space, fractional integral, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

This paper is mainly devoted to establishing an atomic decomposition of a predictable martingale Hardy space with variable exponents defined on probability spaces. More precisely, let (Ω,F, ℙ) be a probability space and p(·): Ω →(0,∞) be a F-measurable function such that 0 < {\inf _{x \in \Omega }}p(x) \leqslant {\sup _{x \in \Omega }}p(x) < \infty . It is proved that a predictable martingale Hardy space Pp(·) has an atomic decomposition by some key observations and new techniques. As an application, we obtain the boundedness of fractional integrals on the predictable martingale Hardy space with variable exponents when the stochastic basis is regular., Zhiwei Hao., and Obsahuje seznam literatury

Language:

English

Rights:

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

Coverage:

1033-1045

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false