Add to ORKGWe study various characterizations of the Hardy spaces $H^p(ℤ)$ via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of $H^p(ℤ)$ given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type
The molecular characterization of the weighted atomic Hardy space H-w(p,q,s) is given. As an applica...
Abstract. A new proof is given of the atomic decomposition of Hardy spaces Hp, 0 < p 1, in the c...
For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy $H_A^1...
In this paper, we obtain a characterization of HΔνp(R+n) Hardy spaces by using atoms associated with...
Discrete function theory in higher-dimensional setting has been in active development since many yea...
Discrete Hardy spaces $H^{1}_{\alpha}(\partial{T})$, related to powers $\alpha \ge 1/2$ of the Poiss...
We investigate the local Hardy spaces $h^p$ on Chébli-Trimèche hypergroups, and establish the equiva...
Discrete function theory in higher-dimensional setting has been in active development since many yea...
Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces $HK̇_q^{α,p}(ℝ^n)$ wh...
We generalize the famous discrete Hardy inequality to 0<p⩽1. We obtain this generalization by using ...
We investigate the local Hardy spaces h p on Chébli-Trimèche hypergroups, and establish the equivale...
AbstractIn this paper, the authors first show that the classical Hardy space H1(Rn) can be character...
Discrete Hardy spaces H-alpha(1) (partial derivative T), related to powers alpha >= 1/2 of the Poiss...
Discrete Hardy spaces H-alpha(1) (partial derivative T), related to powers alpha >= 1/2 of the Poiss...
Abstract. In this paper we study the holomorphic Hardy spaces Hp(Ω), where Ω is a convex domain of f...
The molecular characterization of the weighted atomic Hardy space H-w(p,q,s) is given. As an applica...
Abstract. A new proof is given of the atomic decomposition of Hardy spaces Hp, 0 < p 1, in the c...
For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy $H_A^1...
In this paper, we obtain a characterization of HΔνp(R+n) Hardy spaces by using atoms associated with...
Discrete function theory in higher-dimensional setting has been in active development since many yea...
Discrete Hardy spaces $H^{1}_{\alpha}(\partial{T})$, related to powers $\alpha \ge 1/2$ of the Poiss...
We investigate the local Hardy spaces $h^p$ on Chébli-Trimèche hypergroups, and establish the equiva...
Discrete function theory in higher-dimensional setting has been in active development since many yea...
Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces $HK̇_q^{α,p}(ℝ^n)$ wh...
We generalize the famous discrete Hardy inequality to 0<p⩽1. We obtain this generalization by using ...
We investigate the local Hardy spaces h p on Chébli-Trimèche hypergroups, and establish the equivale...
AbstractIn this paper, the authors first show that the classical Hardy space H1(Rn) can be character...
Discrete Hardy spaces H-alpha(1) (partial derivative T), related to powers alpha >= 1/2 of the Poiss...
Discrete Hardy spaces H-alpha(1) (partial derivative T), related to powers alpha >= 1/2 of the Poiss...
Abstract. In this paper we study the holomorphic Hardy spaces Hp(Ω), where Ω is a convex domain of f...
The molecular characterization of the weighted atomic Hardy space H-w(p,q,s) is given. As an applica...
Abstract. A new proof is given of the atomic decomposition of Hardy spaces Hp, 0 < p 1, in the c...
For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy $H_A^1...