Fourier transformations of $W^{\Phi}$-spaces

  • Kim, Sung-Ki (Department of Mathematics, College of Natural Science, Seoul National University, Seoul 151-742) ;
  • Kim, Dohan (Department of Mathematics, College of Natural Science, Seoul National University, Seoul 151-742)
  • Published : 1997.08.01

Abstract

The $W^\phi$-spaces generalizing the $W^p$-spaces due to Pathak and Upadhyay are investigated and the Fourier transformations on these spaces are continuous.

Keywords

References

  1. Generalized functions v.3 I. M. Gelfand;G. E. Shilov
  2. Proc. Amer. Math. Soc. v.121 $W^P$ -spaces and Fourier transform R. S. Pathak;S. K. Upadhay
  3. Theory of Orlicz spaces M. M. Rao;Z. D. Ren