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math.FA2011
Multivariate Hörmander-type multiplier theorem for the Hankel transform
Jacek Dziubański, Marcin Preisner, Błażej Wróbel
Let H(f)(x)=\int_{(0,infty)^d} f(v) E_{x}(v) dν(v), be the multivariable Hankel transform, where E_{x}(v)=\prod_{k=1}^d (x_k v_k)^{-a_k+1/2} J_{a_k-1/2}(x_k v_k), dν(v)=v^a dv, a=(…
math.FA2011
Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions
Jacek Dziubański, Marcin Preisner
We investigate the Hardy space H^1_L associated to the Schrödinger operator L=-Δ+V on R^n, where V=\sum_{j=1}^d V_j. We assume that each V_j depends on variables from a linear subs…