The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space
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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.
2015 ◽
Vol 63
(1)
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pp. 183-203
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2017 ◽
Vol 165
(3)
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pp. 467-473
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2015 ◽
Vol 9
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pp. 19-29
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1978 ◽
Vol 100
(2)
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pp. 165-177
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1992 ◽
Vol 34
(1)
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pp. 1-9
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1972 ◽
Vol 24
(4)
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pp. 622-630
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