SUMMABILITY KERNELS FOR L p MULTIPLIERS

نویسندگان

  • P. MOHANTY
  • S. MADAN
چکیده

In this paper we have characterized the space of summa-bility kernels for the case p = 1 and p = 2. For other values of p we give a necessary condition for a function Λ to be a summability kernel. For the case p = 1, we have studied the properties of measures which are transferred from M (Z) to M (R) by summability kernels. Further, we have extended every l p sequence to L q (R) multipliers for certain values of p and q.

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تاریخ انتشار 2002