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arXiv · 1701.03843

Relations between Schramm spaces and generalized Wiener classes

Milad Moazami Goodarzi·Mahdi Hormozi·Nacima Memić
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Abstract

We give necessary and sufficient conditions for the embeddings $\Lambda\text{BV}^{(p)}\subseteq \Gamma\text{BV}^{(q_n\uparrow q)}$ and $\Phi\text{BV}\subseteq\text{BV}^{(q_n\uparrow q)}$. As a consequence, a number of results in the literature, including a fundamental theorem of Perlman and Waterman, are simultaneously extended.

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Milad Moazami Goodarzi, Mahdi Hormozi, Nacima Memić. 2017-01-13. Relations between Schramm spaces and generalized Wiener classes. https://doi.org/10.1016/j.jmaa.2017.01.033

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