충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권3호
  • /
  • Pages.453-461
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  • 2010
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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A DECOMPOSITION INTO ATOMS OF TENT SPACES ASSOCIATED WITH GENERAL APPROACH REGIONS

  • Suh, Choon-Serk (School of Information and Communications Engineering Dongyang University)
  • 투고 : 2010.03.22
  • 심사 : 2010.08.12
  • 발행 : 2010.09.30
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초록

We first introduce a space of homogeneous type X, and develop the theory of the tent spaces on the generalized upper half-space $X{\times}(0,{\infty})$. The goal of this paper is to study that every element of the tent spaces $T_{\Omega}^{p}$($X{\times}(0,{\infty})$, $0, can be decomposed into elementary particles which are called "atoms."

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참고문헌

  1. R. R. Coifman, Y. Meyer and E. M. Stein, Some new function spaces and their applications to harmonic analysis, J. Func. Anal. 62 (1985), 304-355. https://doi.org/10.1016/0022-1236(85)90007-2
  2. R. R. Coifman and G.Weiss, Analyse Harmonique Non-commutative sur Certains Espaces Homogenes, Lecture Notes in Math. 242 (1971).
  3. R. R. Coifman and G.Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. https://doi.org/10.1090/S0002-9904-1977-14325-5