A Note On a Banach Algebra

Abstract

In this paper, we discuss and investigate Segal algebra using the Hardy-Littlewood maximal operator in amalgam spaces.

Keywords

• Amalgam spaces,Maximal function,Segal algebras

References

1. Fournier, J.J., Stewart, J., {\em Amalgams of $L^{p}$ and $\ell ^{q}$}, Bull. Amer. Math. Soc., \textbf{13(1)}(1985), 1--21.
2. Hewitt, E., Ross, K.A., Abstract Harmonic Analysis v. I, II, Berlin-Heidelberg-New York, Springer-Verlag, 1979.
3. Holland, F., {\em Harmonic analysis on amalgams of $L^{p}$ and $\ell ^{q}$}, J. London Math. Soc. \textbf{2(10)}(1975), 295--305.
4. Torres de Squire, M. L., Amalgams of $L^{p}$ and $\ell ^{q}$, Ph.D. Thesis, McMaster University, 1984.
5. Stewart, J., {\em Fourier transforms of unbounded measures}, Canad. J. Math., \textbf{31(6)}(1979), 1281--1292.