Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A GENERALIZATION OF CARLESON INEQUALITY IN THE CONTEXT OF SPACES OF HOMOGENEOUS TYPE

  • Suh, Choon-Serk (School of Information and Communications Engineering Dongyang University)
  • Published : 2012.02.15
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Abstract

In this paper we first introduce a Carleson inequality and study the generalized form of Carleson inequality in the context of spaces of homogeneous type. The previous inequality is known to play important roles in harmonic analysis.

Keywords

References

  1. R. R. Coifman and G.Weiss, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 141-150
  2. R. R. Coifman and G. Weiss, Analyse Harmonique Non-commutative sur Certains Espaces Homogenes, Lecture Notes in Math., Vol. 242, Springer-Verlag, Berlin, 1971
  3. E. M. Stein, Singular Integrals and Differentiablity Properties of Functions, Princeton Univ. Press, Princeton, N. J., 1970
  4. C. -S. Suh, On maximal operators belonging to the Muckenhoupt's class $A_{1}$, East Asian Math. J. 23 (2007), 37-43