Equicontinuity plays a vital role in general metric spaces and multiple studies have tried to characterize equicontinuity since its origin. Advent of soft set theory leads us to study these mappings ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...

Abstract: We survey old and new problems and results on spherical means, regarding pointwise convergence, p-improving properties of local spherical maximal operators and consequences for sparse ...

Modern pointwise ergodic theory developed largely out of the work of Bourgain in the late 80s and early 90s, but recent efforts over the past 10 years have seen the field develop in new directions, as ...

This is a preview. Log in through your library . Abstract We consider an elliptic optimal control problem with pointwise state constraints. The cost functional is approximated by a sequence of ...