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


  • Let {Tt}t>0 be the semigroup of linear operators generated by the operator - u(x) = (1/2)u(x) + (/2x)u(x) - V(x)u(x), x > 0, where V is a nonnegative potential satisfying a certain regularity condition, > 1. We say that a function f belongs to the Hardy space H1associated with the semigroup Ttif the maximal function supt>0|Ttf(x)| belongs to L1((0,), xdx). We prove atomic decompositions for the elements of the Hardy space H1. 2008 University of Houston.

published proceedings

  • Houston Journal of Mathematics

author list (cited authors)

  • Dziubaski, J., & Johnson, W. B.

complete list of authors

  • DziubaƄski, J||Johnson, WB

publication date

  • May 2008