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Convolution functions of several variables with generalized bounded variation
Authors:R. G. Vyas
Affiliation:1. Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India
Abstract:Let L 1 be the class of all complex-valued functions, with period 2π in each variable, in the space ></img>                              </span>, where <span class= $mathbb{T} = [0,2pi )$ is the one-dimensional torus. Here, it is observed that L 1 * E ? E for E = Lip(p; α 1, α 2, ..., α N ) over ></img>                              </span>, for <span class= ></img>                              </span>, for <span class= ></img>                              </span>, and for <span class= ></img>                              </span> in the sense of Vitali as well as Hardy.</td>
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Keywords:
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