It is clear that any function in the Hardy Spaces is essentially determined by the boundary value of its real (or imaginary part) on S. The conjugate part is ...

Fundamental properties. §5.1. Definition of Hardy spaces. §5.2. Poisson integral characterization. §5.3. Atomic decomposition. §6. Atomic decompositions.

The space Hp(D) and Hp are called Hardy spaces of the disc and Hardy space respectively. Later on we canonically identify these two spaces as same. 3.1 ...

1 Hardy Space. Denote by H(D) the space of all analytic functions F : D → C. We define the Hardy classes by. Hp(D) = {F ∈ H(D) : kFkHp(D). < ∞} where. kFkHp ...

19 июн. 2024 г. · PDF | We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as ...

The Hardy spaces in one variable have their original setting in complex analysis. They first appeared as spaces of holomorphic functions and were introduced ...

We study Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are in-.

26 сент. 2020 г. · Abstract. We give an overview of parts of the theory of Hardy spaces from the viewpoint of signals and systems theory.

29 июл. 2024 г. · In this paper, we want to see the relationship between the local Hardy spaces (H^P) and real Hardy spaces (h^P)and the boundary behavior of ...

It is easily verify that (Hp)* is a Banach space. Duren, Romberg and Shield. (see [4]) were the first to study the linear space structure of the Hp space.