Department of Science and Humanity, Tatva Institute of Technological Studies, Modasa, Sabarkantha
,IN
R. G. Vyas
Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara
,IN
Keywords:
Banach Space, Bounded P-Variation in the Mean Over [0, 2π, ]2.
Abstract
Extending the class BV(p)M([0, 2π]), of one variable functions of bounded p−variation in the mean, it is observed that the class BV(p)M([0, 2π]2), of two variables functions of bounded p−variation in the mean, is a Banach space. Finally, the Riesz type result is extended for the class BV(p)M([0, 2π]2).