arXiv subjects

A. Kucukaslan

Publications and source records attributed to A. Kucukaslan.

2 recordsLinked to original sources

arXiv2021

Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

In this paper, we give the definition of local variable Morrey Lorentz spaces which are a new class of functions. Also, we prove the boundedness of the Hardy Littlewood maximal operator M and Calderon Zygmund operators T on these spaces. Finally, we apply these results to the Bochner Riesz operator, identity approximation and the Marcinkiewicz operator on these spaces.

math.FA↗

arXiv2006

Trapped Particles in $PT$ Symmetric Theories

$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.

quant-ph↗