Marcin Preisner

Riesz transform characterization of Hardy spaces associated with Schrodinger operators with compactly supported potentials

Let L=−Δ+V be a Schrödinger operator on ℝd, d≥3. We assume that V is a nonnegative, compactly supported potential that belongs to Lp(ℝd), for some p>d/2. Let Kt be the semigroup generated by −L. We say that an L1(ℝd)-function f belongs to the Hardy space

On Riesz Transforms Characterization of H1 Spaces Associated with Some Schrödinger Operators

H^{1}_{L}

Hardy spaces for semigroups with Gaussian bounds

associated with L if sup t>0|Ktf| belongs to L1(ℝd). We prove that

Remarks on spectral multiplier theorems on hardy spaces associated with semigroups of operators.

f\in H^{1}_{L}

Multivariate Hörmander-Type Multiplier Theorem for the Hankel transform

if and only if Rjf∈L1(ℝd) for j=1,…,d, where Rj=(∂/∂xj)L−1/2 are the Riesz transforms associated with L.

Multiplier theorem for Hankel transform on Hardy spaces

AbstractLet

Full length article: Riesz transform characterization of H1 spaces associated with certain Laguerre expansions

\mathcal Lf(x)=-\Delta f (x)+V(x)f(x)

Hardy spaces for Fourier-Bessel expansions

, V ≥ 0,

Atomic decompositions for Hardy spaces related to Schrödinger operators

V\in L^1_{loc}(\mathbb R^d)

Sharp multiplier theorem for multidimensional Bessel operators.

, be a non-negative self-adjoint Schrödinger operator on