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Norm inequalities for the conjugate operator in two-weighted Lebesgue spaces

Norm inequalities for the conjugate operator in two-weighted Lebesgue spaces

In this article, first, we prove that weighted-norm inequalities for the M-harmonic conjugate operator on the unit sphere whenever the pair (u, v) of weights satisfies the A p -condition, and udσ, vdσ are doubling measures, where dσ is the rotation-invariant positive Borel measure on the unit sphere with total …