@ARTICLE{10.21494/ISTE.OP.2025.1314, 

TITLE={<em>A(n,m)</em>-iso-contra-expansive operators and some applications on Bergman spaces}, 
  
AUTHOR={Snoun Safa, Sedki Amira
, Gherairi Khadija
, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={16}, 

NUMBER={Issue 3 (June 2025)}, 
	
YEAR={2025}, 

URL={https://openscience.fr/A-n-m-iso-contra-expansive-operators-and-some-applications-on-Bergman-spaces}, 
	
DOI={10.21494/ISTE.OP.2025.1314}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={In this paper, we study a new class of operators, so called $$$A(n,m)$$$-iso-contra-expansive operators. These new families of operators are considered as a generalization that combines the $$$m$$$-expansive operators as well as m-contractive operators and the classes of $$$(A,m)$$$-expansive and $$$(A,m)$$$-contractive operators and we recover the notion of $$$n$$$-quasi-$$$(A,m)$$$-isometric operators. Some spectral properties of these kind of operators are provided, we derive also a conditions to have the single-valued extension property (SVEP) and we finish by an application of Toeplitz operators on Bergman spaces.}}