Annales Academię Scientiarum Fennicę
Mathematica
Volumen 38, 2013, 193-207

Q_K AND MORREY TYPE SPACES

Hasi Wulan and Jizhen Zhou

Shantou University, Department of Mathematics
Shantou 515063, P.R. China; wulan 'at' stu.edu.cn

Shantou University, Department of Mathematics
Shantou 515063, P.R. China; and
Anhui University of Science and Technology, School of Sciences
Anhui, Huainan 232001, P.R. China; hope189 'at' tom.com

Abstract. In this paper, we obtain a characterization of spaces Q_K in terms of fractional order derivatives of functions. We give a description of Morrey-type spaces similar to the well-known characterization of BMOA. A relationship between Q_K spaces and Morrey type spaces in terms of the fractional order derivatives is established.

2010 Mathematics Subject Classification: Primary 30D45, 30D99.

Key words: Q_K spaces, Morrey type spaces, fractional order derivative.

Reference to this article: H. Wulan and J. Zhou: Q_K and Morrey type spaces. Ann. Acad. Sci. Fenn. Math. 38 (2013), 193-207.

Full document as PDF file

doi:10.5186/aasfm.2013.3801

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