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Multipliers of Hardy spaces, quadratic integrals and Foiaş-Williams-Peller operators

100%

Blower G.

Studia Mathematica

1998

tom 131

nr 2

179-188

We obtain a sufficient condition on a B(H)-valued function φ for the operator $⨍ ↦ Γ_φ ⨍'(S)$ to be completely bounded on $H^∞ B(H)$; the Foiaş-Williams-Peller operator | S^t Γ_φ | R_φ = | | | 0 S | is then similar to a contraction. We show that if ⨍ : D → B(H) is a bounded analytic function for which $(1-r) ||⨍'(re^{iθ})||^2_{B(H)} rdrdθ$ and $(1-r) ||⨍"(re^{iθ})||_{B(H)} rdrdθ$ are Carleson measures, then ⨍ multiplies $(H^1c^1)'$ to itself. Such ⨍ form an algebra A, and when φ'∈ BMO(B(H)), the map $⨍ ↦ Γ_φ ⨍'(S)$ is bounded $A → B(H^2(H), L^2(H) ⊖ H^2(H))$. Thus we construct a functional calculus for operators of Foiaş-Williams-Peller type.

Vector-valued Calderón-Zygmund theory applied to tent spaces

100%

Ruiz F. J., Torrea J. L.

Colloquium Mathematicum

1991

tom 62

nr 2

267-277

Some Hilbert spaces related with the Dirichlet space

100%

Arcozzi N., Mozolyako P., Perfekt K.-M., Richter S., Sarfatti G.

Concrete Operators

2016

tom 3

nr 1

94-101

We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Concrete Operators

1 Studia Mathematica

1 Arcozzi N.

1 Blower G.

1 Mozolyako P.

1 Perfekt K.-M.

1 Richter S.

1 Ruiz F. J.

1 Sarfatti G.

1 Torrea J. L.

1 2016

1 1998

1 1991

Wyniki wyszukiwania

Multipliers of Hardy spaces, quadratic integrals and Foiaş-Williams-Peller operators

Vector-valued Calderón-Zygmund theory applied to tent spaces

Some Hilbert spaces related with the Dirichlet space