Boundedness of Projection Operators and Cesàro Means in Weighted L Space on the Unit Sphere
نویسندگان
چکیده
For the weight function Qd+1 i=1 |xi| 2κi on the unit sphere, sharp local estimates of the orthogonal projection operators are obtained and used to prove the convergence of the Cesàro (C, δ) means in the weighted L space for δ below the critical index. Similar results are also proved for corresponding weight functions on the unit ball and on the simplex.
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