Bilinear Pseudo-differential Operators with Symbols in $$BS^{m}_{1,1}$$ B S 1 , 1 m on Triebel–Lizorkin Spaces

• DOI: 10.1007/s00041-016-9518-2
• Publication Date: 2016-12-29T16:18:48Z
• Authors: Kimitaka Koezuka; Naohito Tomita
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, bilinear pseudo-differential operators with symbols in the bilinear Hormander symbol class $$BS^{m}_{1,1}$$ on Triebel–Lizorkin spaces are discussed. As a result, we can obtain the Kato–Ponce inequality in local Hardy spaces.