Establishing the Boundedness of Pseudo-Differential Operators on Weighted Hardy Spaces and Variable Exponents Hardy Local Morrey Spaces |Chapter 1 | Mathematics and Computer Science: Contemporary Developments Vol. 3

 

Pseudo-differential operators (PDOs) play an important role in the theory of partial differential equations. In this paper, we use atomic decomposition to establish the boundedness of pseudo-differential operators belonging to the Hörmander class on weighted Hardy spaces \(H^p(\omega)\) and on variable exponents. Hardy local Morrey spaces \(HLM^{u(.)}_{p(.)}\).

 

Author(s) Details

Mohamed Congo
Departement de Mathematiques, UFR Sciences Exactes et Appliquees, Universite Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso.

 

Marie Francoise Ouedraogo
Departement de Mathematiques, UFR Sciences Exactes et Appliquees, Universite Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v3/9056A