Continuity of non-regular pseudodifferential operators on variable Triebel–Lizorkin spaces
Volume 122 / 2019
Annales Polonici Mathematici 122 (2019), 233-248
MSC: 35S05, 35S50, 46E35.
DOI: 10.4064/ap180826-25-3
Published online: 19 July 2019
Abstract
This paper is concerned with the boundedness of nonregular pseudodifferential operators with symbols belonging to certain vector-valued Besov space, on Triebel–Lizorkin spaces with variable smoothness and integrability. These symbols include the classical Hörmander classes. Our results cover the results on Triebel–Lizorkin spaces with fixed exponents.
