대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권1호
  • /
  • Pages.59-67
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Multipliers in the fourier transform of distributions of rapid growth

  • Dae Hyeon Pahk (Department of Mathematics, Yonsei University, Seoul 120-749, Korea) ;
  • Byung Keun Sohn (Department of Mathematics, Inje University, Kimhae 621-749, Korea) ;
  • Sun Woo Im (Department of Mathematics, Inje University, Kimhae 621-749, Korea)
  • 발행 : 1997.01.01
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초록

Let $K'_M$ be the space of distributions on $R^m$ which grow no faster than $e^{M(kx)}$ for some k > 0 and an index function M(x) and $K'_M$ be the Fourier transform of $K'_M$. We establish the characterizations of the space $O_M(K'_m;K'_M)$ of multipliers in $K'_M$.

키워드

참고문헌

  1. J. Univ. Kuwait (Sci) v.15 On the space of convolution operators and multipliers in $K^{1}_{M}$ S. Abdulah
  2. Proc. Amer. Math. Soc. v.110 no.1 On the topology of the space of convolution operators in $K^{1}_{M}$ S. Abdulah
  3. Kyungpook Math. J. v.23 no.2 Structure theorem and Fourier transform for distributions with restricted grwoth D. H. Pahk
  4. Hokkaido Math. J. v.23 no.3 Characterizations of multipliers in the distribution spaces with restricted growth B. K. Sohn;S. W. Im
  5. Studia Math. v.31 On the space of convolution operators in $K^{1}_{1}$ Z. Zielezny