Hardy spaces associated with semigroups generated by Bessel operators with potentials

• Autores: Jacek Dziubanski
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 1, 2008, págs. 205-234
• Idioma: inglés
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• Resumen

  • Let {Tt}t>0 be the semigroup of linear operators generated by the operator -Lu(x)=(1 / 2)u''(x)+(a / 2x )u'(x)-V(x)u(x), x>0, where V is a nonnegative potential satisfying a certain regularity condition, a>1. We say that a function f belongs to the Hardy space H1L associated with the semigroup Tt if the maximal function supt>0|Ttf(x)| belongs to L1( R+, xa dx). We prove atomic decompositions for the elements of the Hardy space H1L