Results 321 to 330 of about 4,962,888 (373)
Some of the next articles are maybe not open access.
Fourier transform of anisotropic mixed-norm Hardy spaces
Frontiers of Mathematics in China, 2021Long Huang, D. Chang, Dachun Yang
semanticscholar +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
Factorization theorems for Hardy spaces in several variables
, 1976R. Coifman, R. Rochberg
semanticscholar +1 more source
Frontiers of Mathematics in China, 2020
Xianjie Yan, Dachun Yang, Wen Yuan
semanticscholar +1 more source
Xianjie Yan, Dachun Yang, Wen Yuan
semanticscholar +1 more source
Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces
Periodica Mathematica Hungarica, 2020K. Ho
semanticscholar +1 more source
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