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Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$

100%

Bekollé D., Bonami A.

Colloquium Mathematicum

1995

tom 68

nr 1

81-100

Hankel operators and weak factorization for Hardy-Orlicz spaces

100%

Bonami A., Grellier S.

Colloquium Mathematicum

2010

tom 118

nr 1

107-132

We study the holomorphic Hardy-Orlicz spaces $𝓗 ^{Φ}(Ω)$, where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that $𝓗 ¹(Ω)⊂ 𝓗 ^{Φ}(Ω)⊂ 𝓗 ^{p}(Ω)$ for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from $𝓗 ^Φ(Ω)$ into 𝓗 ¹(Ω).

Ograniczanie wyników

2 Colloquium Mathematicum

2 Bonami A.

1 Bekollé D.

1 Grellier S.

1 2010

1 1995

Wyniki wyszukiwania

Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$

Hankel operators and weak factorization for Hardy-Orlicz spaces