On Embeddings for Classes of Functions with Generalized Smoothness on Metric Spaces |
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Authors: | Romanov A S |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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Abstract: | Given a metric space with a Borel measure, we consider the classes of functions whose increment is controlled by the measure of a ball containing the corresponding points and a nonnegative function summable with some power. We prove embedding theorems for these spaces defined by two different measures satisfying the doubling condition. |
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Keywords: | metric space measure Sobolev class embedding theorem |
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