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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2142))

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Abstract

This chapter is dedicated to the exploration of the molecular and ionic theory of H p(X) in the setting of d-AR spaces. As a motivation for this topic, suppose one is concerned with the behavior of a bounded linear operator T: L 2(X, μ) → L 2(X, μ).

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Notes

  1. 1.

    A has been taken to be 2 in some cases, see, e.g., [HuYaZh09, p. 96], [CoWe77, Footnote on p. 595]. In this work, we do not wish to make such assumptions.

  2. 2.

    These results are only applicable in the 1-dimensional Euclidean setting.

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Alvarado, R., Mitrea, M. (2015). Molecular and Ionic Theory of Hardy Spaces. In: Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces. Lecture Notes in Mathematics, vol 2142. Springer, Cham. https://doi.org/10.1007/978-3-319-18132-5_6

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