We study the boundedness and compactness of the differences of two weighted composition operators acting from the Bloch space B to the space H∞ of bounded analytic functions on the open unit disk. Such a study has a relationship to the topological structure problem of composition operators on H∞. Using this relation, we will estimate the operator norms and the essential norms of the differences...

We study reducing subspaces for an analytic multiplication operator Mzn on the Bergman space L 2 a(Ar) of the annulus Ar, and we prove that Mzn has exactly 2 reducing subspaces. Furthermore, in contrast to what happens for the disk, the same is true for the Hardy space on the annulus. Finally, we extend the results to certain bilateral weighted shifts, and interpret the results in the context o...

In this paper we study the weighted Bergman-Orlicz spaces Aα. Among other properties we get that Aα is a Banach space with the Luxemburg norm. We show that the set of analytic polynomials is dense in Aα. We also study compactness and continuity of the composition operator on Aα. Mathematics Subject Classification: 46E30, 47B33

Integrating a geographic information system and multi-criteria decision making methods have been lead to provide spatial multi-criteria decision making methods. In this study, the spatial potential of flooding was determined based on analytic network process and analytic hierarchy process. At first, six factors of flooding were determined as criteria. The criteria were the slope, hill-slope asp...

Soil is a vital parameter for planting design in urban green spaces especially in adverse climate conditions. In this study, the utilization of analytic hierarchy process (AHP) in surveying land suitability for urban green space from measured criteria like suitability indices, including physical (i.e. clay, silt, sand, bulk density, penetration resistance), chemical (i.e. electrical conductivit...

The notion of weighted centers is essential in V-space interior-point algorithms for linear programming. Although there were some successes in generalizing this notion to semidefinite programming via weighted center equations, we still do not have a generalization that preserves two important properties — 1) each choice of weights uniquely determines a pair of primal-dual weighted centers, and ...