2 citations · 3 across the 5 of their papers we have counts for
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Boundedness of projection operators and Cesàro means in weighted space on the unit sphere
Feng Dai, Yuan Xu
For the weight function $\prod_{i=1}^{d+1}|x_i|^{2\k_i}$ on the unit sphere, sharp local estimates of the orthogonal projection operators are obtained and used to prove the converg…
Cesàro means of orthogonal expansions in several variables
Feng Dai, Yuan Xu
Cesàro means are studied for orthogonal expansions with respect to the weight function $\prod_{i=1}^{d}|x_i|^{2\k_i}$ on the unit sphere, and for the corresponding weight f…
Maximal function and Multiplier Theorem for Weighted Space on the Unit Sphere
Feng Dai, Yuan Xu
For a family of weight functions invariant under a finite reflection group, the boundedness of a maximal function on the unit sphere is established and used to prove a multiplier t…
Characterizations of function spaces on the sphere using frames
Feng Dai
In this paper we introduce a polynomial frame on the unit sphere $\sph$ of , for which every distribution has a wavelet-type decomposition. More importantly, we prove…
Approximation of smooth functions on compact two-point homogeneous spaces
Gavin Brown, Feng Dai
Estimates of Kolmogorov -widths and linear -widths $\da_n(B_p^r, L^q)$, () of Sobolev's classes , (, ) o…