The rate of convergence on fractional power dissipative operator on some sobolev type spaces

• 作者: CAO Zhen-bin WANG Meng
• 来源期刊: 高校应用数学学报B辑（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: Papers
• 页码范围: 412-419
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s11766-021-3901-8

摘要

In[3],Chen,Deng,Ding and Fan proved that the fractional power dissipative operator is bounded on Lebesgue spaces Lp(]Rn),Hardy spaces Hp(Rn) and general mixed norm spaces,which implies almost everywhere convergence of such operator.In this paper,we study the rate of convergence on fractional power dissipative operator on some sobolev type spaces.