weighted Bergman-Orlicz) spaceHΨ1(resp.AΨα1) of the unit ball ofCNembeds boundedly or compactly into the Orlicz spaceLΨ2 BN,µ (resp

In [5.3 itwa3 shown that if H is a bounded hermitian operator on the semi-inner-product space E, then H is a (bounded of course) hermitian operator on any semi-inner-product

The last ones are connected with Hardy- Orlicz and Bergman-Orlicz spaces H ψ and B ψ , and provide a negative answer to the question of knowing if all composition operators which

Let us note that, however, a stronger property, namely Pe lczy´ nski’s property (u), was shown since then to be satisfied by the spaces M -ideal of their bidual (see [7] and, in a

Later, the theory of Hardy spaces and their dual spaces associated with Muckenhoupt weights have been extensively studied by Garc´ıa-Cuerva [22], Str¨omberg and Torchinsky [57]

We have given in [BGS] a direct proof of the fact that Hankel operators are bounded on H 1 in the unit ball if and only if their symbol is in the space LMOA, without

Later, the theory of Hardy spaces and their dual spaces associated with Muckenhoupt weights have been extensively studied by Garc´ıa-Cuerva [18], Str¨omberg and Torchinsky [47]

Firstly, we prove the global well-posedness and the scattering in the energy space both in the subcritical and critical cases, and secondly we compare the evolution of this

The purpose of this paper is to investigate this problem for weighted Bergman-Orlicz spaces, that is to answer the question: does there exist some Orlicz function ψ such that