@article{Alshammari2023, 
author = {Hadi Obaid Alshammari},
title = {Higher order hyperexpansivity and higher order hypercontractivity},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {27227-27240},
keywords = {m-isometric tuple, (m, p)-isometric tuple, expansive operator, contractive operator},
url = {https://www.sciopen.com/article/10.3934/math.20231393},
doi = {10.3934/math.20231393},
abstract = {As a natural extension of the concept of    (  m  ,  p  )-hyperexpansive and    (  m  ,  p  )-hypercontractive of a single operator, we introduce and study the concepts of    (  m  ,  p  )-hyperexpansivity and    (  m  ,  p  )-hypercontractivity for    d-tuple of commuting operators acting on Banach spaces. These concepts extend the definitions of    m-isometries and    (  m  ,  p  )-isometric tuples of bounded linear operators acting on Hilbert or Banach spaces, which have been introduced and studied by many authors.}
}