Weighted BMO and Carleson measures on spaces of homogeneous type

SILVIA HARTZSTEIN; OSCAR SALINAS

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Elsevier

Año: 2008 vol. 342 p. 950 - 969

0022-247X

Abstract. In this paper we characterize the weighted BMO(!)(X), with X a space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can de¯ne the weighted Triebel-Lizorkin space _F 0;2 space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can de¯ne the weighted Triebel-Lizorkin space _F 0;2 space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can de¯ne the weighted Triebel-Lizorkin space _F 0;2 space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can de¯ne the weighted Triebel-Lizorkin space _F 0;2 In this paper we characterize the weighted BMO(!)(X), with X a space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can de¯ne the weighted Triebel-Lizorkin space _F 0;2F 0;2 1 (!)(X) and obtain the identi¯cation with the above space. the identi¯cation with the above space. the identi¯cation with the above space. the identi¯cation with the above space. !)(X) and obtain the identi¯cation with the above space.