We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.

objectives: the purpose of this research was to identify and present environmental aspects that affect elders presence and participation in urban public spaces. methods & materials: the current research is an analytic- descriptive type in survey beds. statistical sample of this research were elders over 65 years of shiraz city that attended and participated in urban public places. data of this ...

We show that every complete metric space is homeomorphic to the locus of zeros of an entire analytic map from a complex Hilbert space to a complex Banach space. As a corollary, every separable complete metric space is homeomorphic to the locus of zeros of an entire analytic map between two complex Hilbert spaces. §1. Douady had observed [8] that every compact metric space is homeomorphic to the...

The rational Dunkl operators are commuting differential-reflection on the Euclidean space Rd associated with a root system, that contain some non-local refection terms, and Hardy is defined by means of Riesz transforms respect to operators. aim paper prove its dual can be realized class functions Rd, denoted BMCκ in text, consists underlying certain type weighted Carleson measures. Our method “...