On Two Variables Functions of Bounded P-Variation in the Mean

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Authors

  • Department of Science and Humanity, Tatva Institute of Technological Studies, Modasa, Sabarkantha ,IN
  • 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).