Pseudodifferential Operators on Weighted Hardy Spaces. (11th March 2020)

• Record Type: Journal Article
• Authors: Deng, Yu-long; Long, Shun-chao
• Other Names: Gallardo Gutiérrez Eva A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/7154125
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class S ρ, δ m ℝ n on weighted Hardy spaces H ω 1 ℝ n, where ω belongs to Muckenhoupt class A p . The first one is an estimate from H ω 1 ℝ n into L ω 1 ℝ n . We get a better range of admissible p and m . The second one is a weighted version bounded for the operators T on H ω 1 ℝ n, and it is an addition to the literature.