Chitkara University Publications

A Note on a Multiplier Class

Abstract:

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Author(s):

R. G. VYAS, Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara-390002, Gujarat, India.

DOI: 

Keywords: 

Lipschitz condition, convolution product, multiplier class

References:

Avdispahic, M. (1986) Concepts of generalized bounded variation and the theory of Fourier series, Inter. J. Math. and Math. Sci., V. 9, No. 2, 223-244. http://dx.doi.org/10.1155/S0161171286000285

Caveny James (1970) On integral Lipschitz conditions and integral bounded variation, J. London Math Soc. (2), 2, 346-352.  http://dx.doi.org/10.1112/jlms/s2-2.2.346

De Leeuw, K. (1961), Banach spaces of Lipschitz functions, Studia Mathematica, 55-66.

Ghorpade, S. R. and Limaye, B. V. (2010) A Course in Multivariable Calculus and Analysis, Springer.  http://dx.doi.org/10.1007/978-1-4419-1621-1

Vyas, R. G. and Darji, K. N. (2012) On Banach algebra valued functions of bounded generalized variation on one and several variables, Bulletin of Mathematics Analysis and Applications, V.4, 1, 181-189.

Vyas, R. G. (2013) Convolution function of several variables with generalized bounded variation, Analysis Mathematica, V. 39, 2, 153-161.

Zygmund, A. (1988) Trigonometric series. Vol. I, II. Reprint of the 1979 edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge.

 

 

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