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| Boundedness of Iterated Spherical Average on α-Modulation Spaces* |
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Citation： |
Qiang HUANG,Xiaomei WU.Boundedness of Iterated Spherical Average on α-Modulation Spaces*[J].Chinese Annals of Mathematics B,2021,42(5):721~736 |
| Page view： 744
Net amount： 463 |
Authors： |
Qiang HUANG; Xiaomei WU |
Foundation： |
Science Foundation of Zhejiang Education Department (No. Y201738640) and the National Natural Science Foundation of China (Nos. 11801518, 11671362). |
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| Abstract： |
For the iteration of spherical average (A1)N and the Laplace operator ?, we consider the boundedness of the operator ?(A1)N on the α-modulation spaces Mp,q s,α. The authors obtain some sufficient and necessary conditions to ensure the boundedness on the α-modulation spaces. The main theorems significantly improve some known results. |
Keywords： |
Spherical average, α-Modulation spaces, Bessel functions |
Classification： |
42B35, 42B15, 41A17 |
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