Nguyen Anh Dao, Nguyen Thi Ngoc Hanh,Tran Minh Hieu, Huy Bac Nguyen
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for , that we call the endpoint case.
Submitted February 6, 2019. Published May 3, 2019.
Math Subject Classifications: 46E35, 26D10.
Key Words: Gagliardo-Nirenberg inequality; Lorentz spaces; BMO space; Fractional Sobolev spaces.
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| Nguyen Anh Dao |
Applied Analysis Research Group
Faculty of Mathematics and Statistics
Ton Duc Thang University
Ho Chi Minh City, Vietnam
| Nguyen Thi Ngoc Hanh |
Le Loi High school
Gia Lai Province, Vietnam
| Tran Minh Hieu |
Luong The Vinh High school
Gia Lai Province. Vietnam
| Huy Bac Nguyen |
Faculty of Electrical Engineering & Computer Science
Technical University of Ostrava
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