Add to ORKGAbstract. This paper is essentially the second author’s lecture at the CIMPA– UNESCO Argentina School 2008, Real Analysis and its Applications. It sum-marises large parts of the three authors ’ paper [MSV]. Only one proof is given. In the setting of a Euclidean space, we consider operators defined and uniformly bounded on atoms of a Hardy space Hp. The question discussed is whether such an operator must be bounded on Hp. This leads to a study of the difference between countable and finite atomic decompositions in Hardy spaces. 1. Introduction an
ABSTRACT. Let LU =−∆+U be a Schrödinger operator on Rd, where U ∈ L1loc (Rd) is a non-negative poten...
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometr...
In this paper we study the holomorphic Hardy space Hp(\u3a9), where \u3a9 is a smoothly bounded conv...
This paper is essentially the second author's lecture at a CIMPA-UNESCO School. It summarises larg...
This paper is essentially the second author\u27s lecture at a CIMPA-UNESCO School. It summarises la...
Abstract. An example of a linear functional defined on a dense subspace of the Hardy space H1(Rn) is...
The present work aims to present an example of linear a functional defined on a dense subspace of th...
Abstract. A new proof is given of the atomic decomposition of Hardy spaces Hp, 0 < p 1, in the c...
We correct an inaccuracy in [1]. [1, Proposition 3.14] states as follows: Let H1, H2 be any Hardy sp...
AbstractLet p⩽1 be near to 1 and X be an RD-space, which includes any Carnot–Carathéodory space with...
AbstractThe aim of this paper is to propose an abstract construction of spaces which keep the main p...
Abstract. In this paper we study the holomorphic Hardy spaces Hp(Ω), where Ω is a convex domain of f...
We introduce a new class of weighted local approximate atoms including classical weighted local atom...
The boundedness of operators on Hardy spaces is usually given by atomic decomposition. In this paper...
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometr...
ABSTRACT. Let LU =−∆+U be a Schrödinger operator on Rd, where U ∈ L1loc (Rd) is a non-negative poten...
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometr...
In this paper we study the holomorphic Hardy space Hp(\u3a9), where \u3a9 is a smoothly bounded conv...
This paper is essentially the second author's lecture at a CIMPA-UNESCO School. It summarises larg...
This paper is essentially the second author\u27s lecture at a CIMPA-UNESCO School. It summarises la...
Abstract. An example of a linear functional defined on a dense subspace of the Hardy space H1(Rn) is...
The present work aims to present an example of linear a functional defined on a dense subspace of th...
Abstract. A new proof is given of the atomic decomposition of Hardy spaces Hp, 0 < p 1, in the c...
We correct an inaccuracy in [1]. [1, Proposition 3.14] states as follows: Let H1, H2 be any Hardy sp...
AbstractLet p⩽1 be near to 1 and X be an RD-space, which includes any Carnot–Carathéodory space with...
AbstractThe aim of this paper is to propose an abstract construction of spaces which keep the main p...
Abstract. In this paper we study the holomorphic Hardy spaces Hp(Ω), where Ω is a convex domain of f...
We introduce a new class of weighted local approximate atoms including classical weighted local atom...
The boundedness of operators on Hardy spaces is usually given by atomic decomposition. In this paper...
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometr...
ABSTRACT. Let LU =−∆+U be a Schrödinger operator on Rd, where U ∈ L1loc (Rd) is a non-negative poten...
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometr...
In this paper we study the holomorphic Hardy space Hp(\u3a9), where \u3a9 is a smoothly bounded conv...