A STUDY ON CARLESON MEASURES WITH RESPECT TO GENERAL APPROACH REGIONS

Title & Authors
A STUDY ON CARLESON MEASURES WITH RESPECT TO GENERAL APPROACH REGIONS
Suh, Choon-Serk;

Abstract
In this paper we first introduce a space of homogeneous type X, and we consider a kind of generalized upper half-space X $\small{\times}$ (0, $\small{\infty}$). 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 $\small{\times}$ (0, $\small{\infty}$). The main tool of the proof is the Whitney decomposition.
Keywords
space of homogeneous type;tent space;($\small{\Omega}$, $\small{{\beta}}$)-Carleson measure;Whitney decomposition;
Language
English
Cited by
References
1.
Pacific J. Math., 1994. vol.163. pp.217-235

2.
Lecuture Notes in Math, 1971. vol.242.

3.
Bull. Amer. Math. Soc., 1977. vol.83. pp.569-645

4.
Ann. Scuola Norm. Sup. Pisa, 1971. vol.25. pp.575-648

5.
Princeton Univ. Press, 1970.