A Maximal Oscillatory Operator on Compact Manifolds

The Journal of Geometric Analysis（2024）

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摘要

This is a continuation of our previous research about an oscillatory integral operator T_α , β on compact manifolds 𝕄 . We prove the sharp H^p - L^p,∞ boundedness on the maximal operator T^*_α , β for all 0

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关键词

Oscillating multiplier operator,Compact manifolds,Hardy spaces,Convergence,Fractional Schrödinger equation,Riesz means,41A25,42B15,42B20,58J40

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