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Embedding of generalized Lipschitz classes into classes of functions with \(\Lambda\)-bounded variation. (English) Zbl 1352.42030

Summary: In this paper, sufficient and necessary conditions for embedding of generalized Lipschitz classes \(H_p^\omega\), \(1 < p < \infty\) into classes \(\Lambda\)BV of functions with \(\Lambda\)-bounded variation are obtained under the mild restriction on \(\omega\).

MSC:

42B35 Function spaces arising in harmonic analysis
26A45 Functions of bounded variation, generalizations
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