Специальность ВАК:
01.01.00 (математика)
Дата рождения:
17.04.1972
Ключевые слова: Banach algebras operator theory locally compact groups Orlicz spaces.
Основные темы научной работы:
Harmonic Analysis
Functional Analysis
Основные публикации:
S. M. Tabatabaie, A. R. Bagheri Salec, “Fourier transforms of convolution operators on Orlicz spaces”, In this paper, we study convolution operators on an Orlicz space LQ(G) commuting
with left translations, where Q is an N-function and G is a locally compact group. We also present some basic properties of the Fourier transform of a Q-convolution operator in the context of locally compact abelian groups., Math. Slovaca, 71:2 (2021), 369-382
S. M. Tabatabaie, A. R. Bagheri Salec, “Convolution of Two Weighted Orlicz
Spaces on Hypergroups”, Let K be a locally compact hypergroup. In this paper, among other results we give a sufficient condition that LQ1w (K) * LQ2w (K) contained in
LQ1w (K) to hold. Also, as an application, we provide a new suffiient condition
for the weighted Orlicz space LQw(K) to be a convolution Banach algebra., Revista Colombiana de Matemáticas, 54:2 (2020), 117-128
S. M. Tabatabaie, A. R. Bagheri Salec and Maryam Zare Sanjari, “Remarks on weighted Orlicz spaces in the context of locally compact
groups”, In this paper, we give some equivalent condition for a weighted Orlicz space LΦw(G)
on a locally compact group G to be a convolution Banach algebra, and by Jensen’s inequality we study a hereditary property for weighted Orlicz algebras on quotient spaces. In addition, we
characterize compact convolution operators from L1w(G) into LΦw(G) ., Math. Inequal. Appl., 23:3 (2020), 1015-1025
M. Tabatabaie, A. R. Bagheri Salec and Maryam Zare Sanjari, “A note on Orlicz algebras”, The purpose of this paper is to give a necessary and sufficient condition for an Orlicz
space LΦ(G) to be a convolution Banach algebra, where G is a compactly generated locally compact abelian group and Φ is a Young function satisfying Δ2 -condition and an extra sequence condition., Oper. Matrices, 14:1 (2020), 139-144
A. R. Bagheri Salec, “Density and invariant means in left amenable locally compact topological groups”, Amenable groups have a close relationship with various mathematical concepts. In this paper we consider the correlation between the amenability and semigroup compactification of a locally compact group. It is observed that in the case that G is an amenable group, there are some wonderful properties for GLUC. Motivated by the definition provided by N. Hindman and D. Strauss, we defined the set LIM0(G) and other sets such as Φ(G) and Δ∗(G)to achieve the desired results and we considered the correlation between the amenability and semigroup compactification of a locally compact group., Topology and its Applications, 230 (2017), 122-130
