Abstract
In this note, sufficient and necessary conditions for embedding of classes \({\Phi}\)BV of functions with bounded \({\Phi}\)-variation in Schramm’s sense into generalized Lipschitz classes \({H_{q}^{\omega} (1 \leq q < \infty)}\) are obtained.
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The author was supported by the National Natural Science Foundation of China (Project no. 11271263), and the Beijing Natural Science Foundation (1132001).
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Wu, X. Embedding of classes of functions with bounded \({\Phi}\)-variation into generalized Lipschitz spaces. Acta Math. Hungar. 150, 247–257 (2016). https://doi.org/10.1007/s10474-016-0656-4
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DOI: https://doi.org/10.1007/s10474-016-0656-4