International Journal of Advanced Multidisciplinary Research and Studies
Volume 5, Issue 1, 2025
The Validity of L^(1+E) Gagliardo-Nirenberg-Zhang Inequality
Author(s): Medhat Roueheb, Shawgy Hussein
DOI: https://doi.org/10.62225/2583049X.2025.5.1.3791
Abstract:
We follow Qingzhong Huang and Ai-Jun Li [50] by considering the L^(1+E) version of the recognizable Gagliardo-Nirenberg-Zhang inequality for isotropic measures. We show an application on this mentioned inequality which is the analytic analogue of the L^(1+E) Loomis-Whitney inequality and which implies the classical L^(1+E) Sobolev inequality (without the best constant).
Keywords: Gagliardo-Nirenberg-Zhang, Inequalities, Loomis-Whitney-Ball Inequality, Isotropic Measure
Pages: 1251-1265
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