Relations between Schramm spaces and generalized Wiener classes
We give necessary and sufficient conditions for the embeddings $Λ\text{BV}^{(p)}\subseteq Γ\text{BV}^{(q_n\uparrow q)}$ and $Φ\text{BV}\subseteq\text{BV}^{(q_n\uparrow q)}$. As a consequence, a number of results in the literature, including a fundamental theorem of Perlman and Waterman, are simultaneously extended.
math.FA↗