Geodesic
Properties of the $\mathcal{M}$ -Harmonic Conjugate Operator
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 113-121

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DOI

We define the $\mathcal{M}$ -harmonic conjugate operator $K$ and prove that it is bounded on the non-isotropic Lipschitz space and on $\text{BMO}$ . 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.
DOI : 10.4153/CMB-2003-011-x
Mots-clés : 32A70, 47G10, $\mathcal{M}$ -harmonic conjugate operator 
Lee, Jaesung; Rim, Kyung Soo. Properties of the $\mathcal{M}$ -Harmonic Conjugate Operator. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 113-121. doi: 10.4153/CMB-2003-011-x
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     author = {Lee, Jaesung and Rim, Kyung Soo},
     title = {Properties of the $\mathcal{M}$ {-Harmonic} {Conjugate} {Operator}},
     journal = {Canadian mathematical bulletin},
     pages = {113--121},
     year = {2003},
     volume = {46},
     number = {1},
     doi = {10.4153/CMB-2003-011-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-011-x/}
}
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