Hardy type inequalities in generalized grand Lebesgue spaces


Restrepo J.E. Suragan D.
April 2021Birkhauser

Advances in Operator Theory
2021#6Issue 2

In the present paper, we discuss generalized grand Lebesgue spaces on homogeneous Lie groups. We prove Hardy type inequalities in the context of the considered spaces. We also present Hardy–Rellich and Hardy–Sobolev type inequalities extending some recently obtained results.

Generalized grand Lebesgue space , Hardy inequality , Homogeneous group , Sharp constant

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Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan

Department of Mathematics

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