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

摘要

In this note, sufficient or necessary conditions for embedding of Lipschitz classes H_p~ω, 1 ≤ p < ∞ into classes ΛBV of functions of Λ-bounded variation are considered. Based on the technique of decomposition of functions, we obtain sufficient and necessary conditions for the embedding H_p~α ? {n`β} BV, 0 < α, β ≤ 1.