Analytic Variable Exponent Hardy Spaces

2018/10/31 by Chacón, Gerardo A., Chacón, Gerardo R.
#30H10 #42B30 #42B30 30H10 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1810.13045

Abstract

We introduce a variable exponent version of the Hardy space of analytic functions on the unit disk, we show some properties of the space, and give an example of a variable exponent p(⋅) that satisfies the log-Hölder condition such that H^p(⋅)≠ H^q for any constant exponent 1

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