L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups

2012/05/06 by Choi, Woocheol
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1205.1185

Abstract

In the first part, we obtain sharp results for L² boundedness of strongly singular operators on the Heisenberg group. We also define the oscillating convolution operators on the Heisenberg group and study their boundedness properties. In the second part, we obtain the boundedness on Hardy spaces.

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