Oscillatory hyper-Hilbert transform along curves on modulation spaces

doi:10.1007/s11464-018-0688-x

Front. Math. China

2018, Vol. 13

Issue (3) : 647-666 https://doi.org/10.1007/s11464-018-0688-x

RESEARCH ARTICLE

Oscillatory hyper-Hilbert transform along curves on modulation spaces

Xiaomei WU¹(

), Dashan FAN²

¹. Xingzhi College, Zhejiang Normal University, Jinhua 321004, China
². Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA

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Abstract

We consider the boundedness of the n-dimension oscillatory hyper-Hilbert transform along homogeneous curves on the α-modulation spaces, including the inhomogeneous Besov spaces and the classical modulation spaces. The main theorems signicantly improve some known results.

Keywords Oscillatory hyper-Hilbert transform inhomogeneous Besov spaces -modulation spaces homogeneous curves

Corresponding Author(s): Xiaomei WU

Issue Date: 11 June 2018

Cite this article:

Xiaomei WU,Dashan FAN. Oscillatory hyper-Hilbert transform along curves on modulation spaces[J]. Front. Math. China, 2018, 13(3): 647-666.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0688-x
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I3/647

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