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arXiv · 1810.13045

Analytic Variable Exponent Hardy Spaces

Gerardo A. Chacón·Gerardo R. Chacón
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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 $p(\cdot)$ that satisfies the $\log$-H\"older condition such that $H^{p(\cdot)}\neq H^q$ for any constant exponent $1<q<\infty$. We also consider the variable exponent version of the Hardy space on the upper-half plane.

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Gerardo A. Chacón, Gerardo R. Chacón. 2018-10-31. Analytic Variable Exponent Hardy Spaces. https://arxiv.org/abs/1810.13045

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