ON TEMPERED DISTRIBUTIONS WITH GABOR TRANSFORM IN LORENTZ-KARAMATA SPACES
ILKER ERYILMAZ Ondokuz Mayis University, Faculty of Sciences and Arts, Department of Mathematics, 55139, Kurupelit-Samsun, TURKEY,
e-mail: rylmz@omu.edu.tr, eryilmaz666@gmail.com
In this paper, some fundamental properties of Lorentz-Karamata (LK) spaces are examined by using the properties of Lorentz spaces. Also, we prove some properties of the spaces of tempered distributions, where Gabor transform of these tempered distri-butions are in Lorentz-Karamata spaces, in analog to modulation spaces.
