17 citations · 41 across the 12 of their papers we have counts for
13 papers · 1 filter
Harmonic functions for Bessel operators
Michał Dymowski, Marcin Preisner, Adam Sikora
We verify the continuity of the Riesz transform from the operator related Hardy space to - Lebesgue space of integrable functions. For the standard Euclidean Laplace operator…
Hardy spaces meet harmonic weights revisited
Marcin Preisner, Adam Sikora
We investigate Hardy spaces corresponding to self-adjoint operators . Our main aim is to obtain a description of in terms of atomic decompositions similar…
Riesz transform characterizations for multidimensional Hardy spaces
Edyta Kania-Strojec, Marcin Preisner
We study Hardy space related to a self-adjoint operator defined on Euclidean domain . Under certain assumptions on the heat semigroup $\exp…
Hardy spaces meet harmonic weights
Marcin Preisner, Adam Sikora, Lixin Yan
We investigate the Hardy space associated with a self-adjoint operator defined in a general setting in [S. Hofmann, et. al., Hardy spaces associated to non-negative sel…
Local atomic decompositions for multidimensional Hardy spaces
Edyta Kania, Paweł Plewa, Marcin Preisner
We consider a nonnegative self-adjoint operator on , where . Under certain assumptions, we prove atomic characterizations of the Hardy space $$…
Sharp multiplier theorem for multidimensional Bessel operators
Edyta Kania, Marcin Preisner
Consider the multidimensional Bessel operator Let $d = \sum_{j=…
Hardy spaces for semigroups with Gaussian bounds
Jacek Dziubański, Marcin Preisner
Let T_t=e^{-tL} be a semigroup of self-adjoint linear operators acting on L^2(X,mu), where (X,d mu) is a space of homogeneous type. We assume that T_t has an integral kernel T_t(x,…
Atomic decompositions for Hardy spaces related to Schrödinger operators
Marcin Preisner
Let L_U = -Delta+U be a Schrödinger operator on R^d, where U\in L^1_{loc}(R^d) is a non-negative potential and d\geq 3. The Hardy space H^1(L_U) is defined in terms of the maximal…
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=(…
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…
On Riesz transforms characterization of H^1 spaces associated with some Schrödinger operators
Jacek Dziubański, Marcin Preisner
Let Lf(x)=-Δf(x) + V(x)f(x), V\geq 0, V\in L^1_{loc}(R^d), be a non-negative self-adjoint Schrödinger operator on R^d. We say that an L^1-function f belongs to the Hardy space H^1_…
Riesz transform characterization of Hardy spaces associated with Schrödinger operators with compactly supported potentials
Jacek Dziubański, Marcin Preisner
Let L=-Δ+V be a Schrödinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semi…
Remarks on spectral multiplier theorems on Hardy spaces associated with semigroups of operators
Jacek Dziubański, Marcin Preisner
Let L be a non-negative, self-adjoint operator on L^2(Ω), where (Ω, d μ) is a space of homogeneous type. Assume that the semigroup {T_t}_{t>0} generated by -L satisfies Gaussian bo…