Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spaces

Author:

Guliyev Vagif S.123ORCID

Affiliation:

1. Institute of Applied Mathematics Baku State University Baku Azerbaijan

2. Peoples' Friendship University of Russia (RUDN University) Moscow Russian Federation

3. Azerbaijan University of Architecture and Construction Baku Azerbaijan

Abstract

We give necessary and sufficient conditions for the boundedness of the maximal commutators and the commutators of the maximal operator in total Morrey spaces when belongs to Lipschitz spaces , whereby some new characterizations for certain subclasses of Lipschitz spaces are obtained.

Publisher

Wiley

Reference27 articles.

1. Commutator of anisotropic maximal function with BMO functions on total anisotropic Morrey spaces;Abasova G. A.;Trans. Natl. Acad. Sci. Azerb. Ser. Phys.‐Tech. Math. Sci. Math.,2022

2. A note on maximal commutators and commutators of maximal functions

3. Maximal commutator and commutator of maximal function on modified Morrey spaces;Aykol C.;Trans. Natl. Acad. Sci. Azerb. Ser. Phys. Tech. Math. Sci. Math.,2016

4. Commutators for the maximal and sharp functions

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1. Commutators for the fractional maximal and sharp functions on total Morrey spaces;Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science;2024-06-30

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