Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (6): 1677-1694.doi: S0252-9602(14)60114-4

• Articles •     Next Articles

POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES

 LIN Hai-Bo, YANG Da-Chun*   

  1. College of Science, China Agricultural University, Beijing 100083, China; School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China
  • Received:2013-09-18 Revised:2014-01-20 Online:2014-11-20 Published:2014-11-20
  • Contact: YANG Da-Chun,dcyang@bnu.edu.cn E-mail:haibolincau@126.com;dcyang@bnu.edu.cn
  • Supported by:

    The first author is supported by the National Natural Science Foundation of China (11301534), Da Bei Nong Education Fund (1101-2413002) and Chinese Universities Scientific Fund (2013QJ003). The second (corresponding) author is supported by the National Natural Science Foundation of China (11171027 and 11361020), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20120003110003) and the Fundamental Research Funds for Central Universities of China (2012LYB26 and 2012CXQT09).

Abstract:

In this article, the authors characterize pointwise multipliers for localized Morrey-Campanato spaces, associated with some admissible functions on RD-spaces, which include localized BMO spaces as a special case. The results obtained are applied to Schr¨odinger operators and some Laguerre operators.

Key words: RD-space, pointwise multiplier, localized Morrey-Campanato space, BMO space

CLC Number: 

  • 42B15
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