Operator and Matrix Theory, Function Spaces, and Applications

Weighted Hardy spaces over the unit ball: the freely noncommutative and commutative settings. - Two aspects of small diameter properties. - Hilbert Transform in the Cartwright De Branges Space. - A Note on the Dilation of a Certain Family of Tetrablock Contractions. - Commuting Toeplitz operators and moment maps on Cartan domains of type III. - Branching symplectic monogenics using a Mickelsson Zhelobenko algebra. - On non-commutative spreadability. - Small rank perturbations of H-expansive matrices. - On the Berger-Coburn Phenomenon. - Quasi-Multipliers and Algebrizations of an Operator Space. III. - Maximal Noncompactness of Singular Integral Operators on L2 Spaces with Some Khvedelidze Weights. - Mellin pseudodifferential operators and singular integral operators with complex conjugation. - On the dual representation of the congruence kernels and the related Delsarte type transmutations of multidimensional differential operators. - Toeplitz Operator with a Finite Number of Horizontal SymbolsActing on the Poly-Fock Spaces. - On Abstract Spectral Constants. - Geometric structures related to aW -algebra. - Composition in reproducing kernel Hilbert spaces rebours. - Kippenhahn s construction revisited. - On de Finetti-type theorems.