대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권5호
  • /
  • Pages.855-890
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

FRACTIONAL MAXIMAL AND INTEGRAL OPERATORS ON WEIGHTED AMALGAM SPACES

  • Rakotondratsimba, Y. (Institut Polytechnique St-Louis, EPMI)
  • 발행 : 1999.09.01
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초록

Necessary and sufficient conditions on the weight functions u(.) and $\upsilon$(.) are derived in order that the fractional maximal operator $M\alpha,\;0\;\leq\;\alpha\;<\;1$, is bounded from the weighted amalgam space $\ell^s(L^p(\mathbb{R},\upsilon(x)dx)$ into $\ell^r(L^q(\mathbb{R},u(x)dx)$ whenever $1\leq s\leq r<\infty\;and\;1. The boundedness problem for the fractional intergral operator $I_{\alpha},0<\alpha\leq1$, is also studied.

키워드

참고문헌

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