Abstract

The theory of analytic QK spaces in the unit disk is becoming more complete. In this paper, QK (R n ) spaces of several real variables are investigated. We give a characterization of QK (R n ) spaces in terms of the mean oscillation of functions over cubes. Applying the characterization and the Calderon-Zygmund decomposition, we establish John-Nirenberg type inequality for QK (R n ). We also show that QK (R n ) spaces can be characterized in the sense of the wavelet coefficients.

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