Results 121 to 130 of about 21,010 (163)
Some of the next articles are maybe not open access.
Canadian Journal of Mathematics, 1967
This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1).
openaire +2 more sources
This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1).
openaire +2 more sources
International Journal of Theoretical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Acta Mathematica Sinica, English Series, 2010
As is known, there are various ways to define Hardy spaces, especially in the multi-dimensional setting. One of such approaches is the maximal function approach. Using it, the authors introduce a family of Hardy spaces based on a functional parameter. Many known Hardy and Hardy-Lorentz type spaces are particular cases.
Almeida, Alexandre, Caetano, António M.
openaire +1 more source
As is known, there are various ways to define Hardy spaces, especially in the multi-dimensional setting. One of such approaches is the maximal function approach. Using it, the authors introduce a family of Hardy spaces based on a functional parameter. Many known Hardy and Hardy-Lorentz type spaces are particular cases.
Almeida, Alexandre, Caetano, António M.
openaire +1 more source
1992
In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Sheldon Axler, Paul Bourdon, Wade Ramey
openaire +1 more source
In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Sheldon Axler, Paul Bourdon, Wade Ramey
openaire +1 more source
Analysis Mathematica, 1994
This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
openaire +1 more source
This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
openaire +1 more source
Two characterizations of central BMO space via the commutators of Hardy operators
Forum Mathematicum, 2021Zunwei Fu, Shaoguang Shi
exaly
Studia Mathematica, 1998
We study various characterizations of the Hardy spaces Hp(ℤ) via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of Hp(ℤ) given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
openaire +1 more source
We study various characterizations of the Hardy spaces Hp(ℤ) via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of Hp(ℤ) given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
openaire +1 more source