The Journal of the Indian Mathematical Society

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


Affiliations
1 Department of Science and Humanity, Tatva Institute of Technological Studies, Modasa, Sabarkantha, India
2 Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, India
     

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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).

Keywords

Banach Space, Bounded P-Variation in the Mean Over [0, 2π]2..
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  • On Two Variables Functions of Bounded P-Variation in the Mean

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Authors

K. N. Darji
Department of Science and Humanity, Tatva Institute of Technological Studies, Modasa, Sabarkantha, India
R. G. Vyas
Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, India

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).

Keywords


Banach Space, Bounded P-Variation in the Mean Over [0, 2π]2..