An equivalent characterization of BMO with Gauss measure

Abstract

Let γbe the Gauss measure on ℝⁿ.We establish a Calderón-Zygmund type decomposition and a John-Nirenberg type inequality in terms of the local sharp maximal function and the median value of function over cubes. As an application, we obtain an equivalent characterization of known BMO space with Gauss measure.

Keywords

BMO / John-Nirenberg inequality / Gauss measure / median value / Calderón-Zygmund decomposition / sharp maximal function

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