Add to ORKGAbstract. We define a general space Hω,p of the Hardy space and improve that Aleman’s results to the space Hω,p. It follows that the multiplication operator on this space is cellular indecomposable and that each invariant subspace contains nontrivial bounded functions. 1
We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in t...
Let be reflexive Banach space of functions analytic plane domain Ω such that for every λ in Ω the f...
Let F be a relatively closed subset of the unit disc D. If A is any of the Hardy spaces Hp(D), 0 <...
We present some recent results on Hardy spaces of generalized analytic functions on D specifying the...
For each $1\le p<\infty$, the classical Cesàro operator $\mathcal C$ from the Hardy space $H^p$ t...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all c...
We consider analytic functions in tubes Rn+iB⊂Cn with values in Banach space or Hilbert space. The b...
We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of...
AbstractIt was well known that Calderón–Zygmund operators T are bounded on Hp for nn+ε<p⩽1 provided ...
The object of this paper is to prove a version of the Beurling-Helson-Lowdenslager invariant subspac...
One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ s...
ABSTRACT. In this paper we obtain a complete description of nontrivial minimal reduc-ing subspaces o...
We give a complete characterization of the sequences β = (β n) of positive numbers for which all com...
We obtain a sufficient condition on a B(H)-valued function φ for the operator $⨍ ↦ Γ_φ ⨍'(S)$ to be ...
We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in t...
Let be reflexive Banach space of functions analytic plane domain Ω such that for every λ in Ω the f...
Let F be a relatively closed subset of the unit disc D. If A is any of the Hardy spaces Hp(D), 0 <...
We present some recent results on Hardy spaces of generalized analytic functions on D specifying the...
For each $1\le p<\infty$, the classical Cesàro operator $\mathcal C$ from the Hardy space $H^p$ t...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all c...
We consider analytic functions in tubes Rn+iB⊂Cn with values in Banach space or Hilbert space. The b...
We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of...
AbstractIt was well known that Calderón–Zygmund operators T are bounded on Hp for nn+ε<p⩽1 provided ...
The object of this paper is to prove a version of the Beurling-Helson-Lowdenslager invariant subspac...
One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ s...
ABSTRACT. In this paper we obtain a complete description of nontrivial minimal reduc-ing subspaces o...
We give a complete characterization of the sequences β = (β n) of positive numbers for which all com...
We obtain a sufficient condition on a B(H)-valued function φ for the operator $⨍ ↦ Γ_φ ⨍'(S)$ to be ...
We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in t...
Let be reflexive Banach space of functions analytic plane domain Ω such that for every λ in Ω the f...
Let F be a relatively closed subset of the unit disc D. If A is any of the Hardy spaces Hp(D), 0 <...