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1. CMB 2003 (vol 46 pp. 113)

Lee, Jaesung; Rim, Kyung Soo
Properties of the $\mathcal{M}$-Harmonic Conjugate Operator
We define the $\mathcal{M}$-harmonic conjugate operator $K$ and prove that it is bounded on the nonisotropic Lipschitz space and on $\BMO$. Then we show $K$ maps Dini functions into the space of continuous functions on the unit sphere. We also prove the boundedness and compactness properties of $\mathcal{M}$-harmonic conjugate operator with $L^p$ symbol.

Keywords:$\mathcal{M}$-harmonic conjugate operator
Categories:32A70, 47G10

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