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

Voir la notice de l'article provenant de la source Cambridge University Press

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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