Abstract

AbstractConsider the Bessel operator with a potential on , namely urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0002We assume that and is a nonnegative function. By definition, a function belongs to the Hardy space if urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0007Under certain assumptions on V we characterize the space in terms of atomic decompositions of local type. In the second part we prove that this characterization can be applied to for with no additional assumptions on the potential V.

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