In this paper we study a question related to the continuity of maximal operators convolution type acting on W1,1(ℝ). We prove that map u ↦ (u*)′ is continuous from W1,1(ℝ) L1(ℝ), where u* function associated Poisson kernel, Heat kernel or family kernels fractional Laplacian. This first result for centered operator.

In this paper, we formulate some approaches to belief fusion and revision using epistemic logic semantics. Fusion operators considered in this paper are majority merging, arbitration, and general merging. Some modalities corresponding to belief fusion and revision operators are incorporated into epistemic logics. The Kripke semantics of these extended logics are presented. While most existing a...

an l-fuzzifying matroid is a pair (e, i), where i is a map from2e to l satisfying three axioms. in this paper, the notion of closure operatorsin matroid theory is generalized to an l-fuzzy setting and called l-fuzzifyingclosure operators. it is proved that there exists a one-to-one correspondencebetween l-fuzzifying matroids and their l-fuzzifying closure operators.

in this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the hypercyclicity criterion. we characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional banach space .

‎in this paper‎, ‎we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $q_p$-classes‎. ‎also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎moreover‎, ‎compact composition operators $c_phi$ and lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $q_p$-classes are characte...

the purpose of this paper is to introduce the concept of l-fuzzybilinear operators. we obtain a decomposition theorem for l-fuzzy bilinearoperators and then prove that a l-fuzzy bilinear operator is the same as apowerset operator for the variable-basis introduced by s.e.rodabaugh (1991).finally we discuss the continuity of l-fuzzy bilinear operators.

in this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on banach spaces is obtained and some applied examples of two-parameter dynamical systems are discussed

introduction: one of the important aspects in high quality health care system is delivering health services in an appropriate way which can lead to development of the systems. patient satisfaction is a quality indicator that has the potential to provide valuable information about the care delivered by an emergency medical services system (ems). this indicator is considered as an important marke...

We introduce a formal language for multi-agent systems based on new modal operators. The modal operators express concurrency at the syntactic level. Operators containing quantifiers describe the evolution of a system where each agent has knowledge of other agents’ attitude toward a goal but not of their actions. This result is obtained without introducing standard epistemic operators. The seman...