BOUNDEDNESS OF TOEPLITZ TYPE OPERATOR RELATED TO GENERAL FRACTIONAL INTEGRAL OPERATORS ON ORLICZ SPACE

作者：Xie, Zhangqi^*; Liu, Lanzhe

来源：Proceedings of the Romanian Academy - Series A: Mathematics, Physics, Technical Sciences, Information Science , 2015, 16(3): 413-421.

• Toeplitz type operator
• Singular integral operator
• BMO space
• Orlicz space
• Riesz potential operator
• Littlewood-Paley operator
• Marcinkiewicz operator

In this paper, the boundedness for some Toeplitz type operators related to certain fractional integral operators from Lebesgue spaces to Orlicz spaces are proved. The fractional integral operators include singular integral operator with general kernel, Riesz potential operator with rough kernel, Littlewood-Paley operator and Marcinldewicz operator.

• 出版日期2015-7
• 单位湖南大学