TY - JOUR
ID - 697067
TI - Pseudosymmetric Spaces as Generalization of Symmetric spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Bilalov, Bilal
AU - Zeren, Yusuf
AU - Alizade, Betule
AU - Elif Dal, Feyza
AD - Department of Non-harmonic Analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
AD - Department of Mathematics, Yildiz Technical University, Istanbul, Turkey.
Y1 - 2023
PY - 2023
VL - 20
IS - 1
SP - 61
EP - 79
KW - Symmetric spaces
KW - Calderon theorem
KW - Boyd indices
KW - fundamental function
DO - 10.22130/scma.2022.551403.1090
N2 - In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its properties, Calderon's theorem, etc., is transferred over the pseudosymmetric case. Examples are given for pseudosymmetric spaces. The quasi-symmetric spaces expand the scope of the application of symmetric space results.
UR - https://scma.maragheh.ac.ir/article_697067.html
L1 - https://scma.maragheh.ac.ir/article_697067_b31352720c729361372e367750858f7f.pdf
ER -