Atomic decomposition of Hardy-amalgam spaces. (English) Zbl 1371.42024
Summary: We define a Hardy type space, by taking in the maximal characterization of Hardy spaces, the Wiener amalgam norms of the maximal functions, instead of the Lebesgue norms. The functions in this space can then behave differently locally and at infinity. We prove that this space contains the classical Hardy space and obtain an atomic decomposition.
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