Embedding of Lipschitz classes into classes of functions of Lambda-bounded variation

作者：Wang Heping^*

来源：Journal of Mathematical Analysis and Applications, 2009, 354(2): 698-703.

DOI：10.1016/j.jmaa.2009.01.033

• Lambda-bounded variation
• Lipschitz classes
• Embedding

In this note, sufficient or necessary conditions for embedding of Lipschitz classes H(p)(omega), 1 <= p < infinity into classes Lambda BV of functions of Lambda-bounded variation are considered. Based on the technique of decomposition of functions, we obtain sufficient and necessary conditions for the embedding H(p)(alpha) subset of {n(beta)}BV, 0 < alpha, beta <= 1.

• 出版日期2009-6-15
• 单位首都师范大学