Abstract The paper is devoted to the study of compactness Hankel operators acting between distinct Hardy spaces generated by Banach function lattices. We prove an analogue Hartman’s theorem characterizing compact in terms properties their symbols. As a byproduct we give estimation essential norm such operators. Furthermore, commutators and semicommutators Toeplitz for unbounded symbols discussed.

We use in this paper the viability/capturability approach for studying the problem of characterizing the dynamic core of a dynamic cooperative game defined in a characteristic function form. In order to allow coalitions to evolve, we embed them in the set of fuzzy coalitions. Hence, we define the dynamic core as a set-valued map associating with each fuzzy coalition and each time the set of all...