The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space
Copyright policy ) Józef Banas; Rafal Nalepa;
The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space
The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity. We are going to provide a condition that is sufficient for the relative compactness in the Banach space in question. A few particular cases of that Banach space will be discussed.
locally compact metric space, metric space countable at infinity, modulus of continuity, relative compactness, QA1-939, Mathematics, space of functions with tempered increments
locally compact metric space, metric space countable at infinity, modulus of continuity, relative compactness, QA1-939, Mathematics, space of functions with tempered increments
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