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Gagliardo-Nirenberg inequality with H\"older norms by Dong, Mengxia is a scholarly article available to read on EtoBox.

What is Gagliardo-Nirenberg inequality with H\"older norms about?

The classical Gagliardo-Nirenberg inequality, known as an interpolation inequality, involves Lebesgue norms of functions and their derivatives. We established an interpolation lemma to connect Lebesgue and H\"older spaces, thus extending the Gagliardo-Nirenberg inequality. This extension involved substituting arbitrary Sobolev norms with appropriate H\"older norms, allowing for a wider range of applicable parameters in the inequality.

Author

Dong, Mengxia

Published

2024

Language

EN