Establishing the Boundedness of Pseudo-Differential Operators on Weighted Hardy Spaces and Variable Exponents Hardy Local Morrey Spaces

Authors

  • 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.

DOI:

https://doi.org/10.9734/bpi/mcscd/v3/9056A

Keywords:

Pseudo-differential operators, weighted hardy spaces, hardy local morrey spaces, variable exponents

Abstract

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 \(HLM^{u(.)}_{p(.)}\).

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Published

2024-08-20

How to Cite

Mohamed Congo, & Marie Francoise Ouedraogo. (2024). Establishing the Boundedness of Pseudo-Differential Operators on Weighted Hardy Spaces and Variable Exponents Hardy Local Morrey Spaces. Mathematics and Computer Science: Contemporary Developments Vol. 3, 1–20. https://doi.org/10.9734/bpi/mcscd/v3/9056A

Issue

Mathematics and Computer Science: Contemporary Developments Vol. 3

Section

Chapters