Hardy spaces associated with semigroups generated by bessel operators with potentials Academic Article uri icon

abstract

  • Let {Tt}t>0 be the semigroup of linear operators generated by the operator - ℒu(x) = (1/2)u″(x) + (α/2x)u′(x) - V(x)u(x), x > 0, where V is a nonnegative potential satisfying a certain regularity condition, α > 1. We say that a function f belongs to the Hardy space Hℒ1associated with the semigroup Ttif the maximal function supt>0|Ttf(x)| belongs to L1((0,∞), xαdx). We prove atomic decompositions for the elements of the Hardy space Hℒ1. © 2008 University of Houston.

author list (cited authors)

  • Dziubaski, J., & Johnson, W. B.

complete list of authors

  • Dziubański, J||Johnson, WB

publication date

  • May 2008