대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권1호
  • /
  • Pages.31-36
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  • 2002
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A STUDY ON CARLESON MEASURES WITH RESPECT TO GENERAL APPROACH REGIONS

  • 발행 : 2002.01.01
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초록

In this paper we first introduce a space of homogeneous type X, and we consider a kind of generalized upper half-space X $\times$ (0, $\infty$). We are mainly concerned with some inequalities in terms of Carleson measures or in terms of certain maximal operators with respect to general approach regions in X $\times$ (0, $\infty$). The main tool of the proof is the Whitney decomposition.

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참고문헌

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  2. Lecuture Notes in Math v.242 Analyse Harmonique Non-commutative sur Certains Espaces Homogenes R. R. Coifman;G. Weiss
  3. Bull. Amer. Math. Soc. v.83 Extensions of Hardy spaces and their use in analysis https://doi.org/10.1090/S0002-9904-1977-14325-5
  4. Ann. Scuola Norm. Sup. Pisa v.25 Singular integrals on homogeneous spaces and some problems of classical analysis A. Koranyi;S. Vagi
  5. Princeton Univ. Press Singular Integrals and Differentiability Properties of Functions E. M. Stein