Generalized Morrey Spaces for Non-doubling Measures

Article

Abstract.

In this paper, we define the generalized Morrey spaces on \({\mathbb{R}}^{d}\) with the measure μ non-doubling. After defining the space, we shall investigate the properties of maximal operators, fractional integral operators and the singular integral operators. And we shall allude to the vector-valued extension of these operators.

Mathematics Subject Classification (2000).

Primary 42B35 Secondary 42B25 

Keywords.

Generalized Morrey space non-doubling (nonhomogeneous) 

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  1. 1.Department of MathematicsGakushuin UniversityTokyoJapan

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