Analytic variable exponent Hardy spaces

Chacón, Gerardo

doi:10.15352/aot.1901-1459

Search citation statements

Order By: Relevance

Paper Sections

Select...

Variable Exponent Hardy Spaces1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2021

Publication Types

Select...

Book1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 15 publications

(20 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section we will give an introduction to the variable exponent Hardy spaces and the results and techniques that are usually found. We will follow the presentation as in [20]. where m denotes the normalized Lebesgue measure on .…”

Section: Variable Exponent Hardy Spacesmentioning

confidence: 99%

Variable Exponent Spaces of Analytic Functions

Chacón¹

2020

Advances in Complex Analysis and Applications

View full text Add to dashboard Cite

Variable exponent spaces are a generalization of Lebesgue spaces in which the exponent is a measurable function. Most of the research done in this topic has been situated under the context of real functions. In this work, we present two examples of variable exponent spaces of analytic functions: variable exponent Hardy spaces and variable exponent Bergman spaces. We will introduce the spaces together with some basic properties and the main techniques used in the context. We will show that in both cases, the boundedness of the evaluation functionals plays a key role in the theory. We also present a section of possible directions of research in this topic.

show abstract

Section: Variable Exponent Hardy Spacesmentioning

confidence: 99%