Quasi-Sobolev Spaces $l_m^p$

Authors

  • Jawad K Al-Delfi South Ural State University; Al-Mustansiriyah University, Baghdad, Iraq

Keywords:

quasi-norm, Quasi-Banach space, Quasi-Sobolev spaces, Laplace’ Quasi-operator, Green’ Quasi-operator

Abstract

Firstly, the notion of quasi-Banach spaces for the sequence spaces  $l_m^p$, $m \in R$, $p \in (0, +\infinity)$  has been considered and we have been proved analogs of the Sobolev embedding theorem. Also, the notion quasi-operator Laplace has been considered.

Author Biography

Jawad K Al-Delfi, South Ural State University; Al-Mustansiriyah University, Baghdad, Iraq

Post-graduate student, Equations of Mathematical Physics Department

Issue

Section

Short communications