Several Parameter Type Logarithmic Sobolev Inequalities
摘要
In this paper,we obtain a parameter type logarithmic Sobolev inequality with weight and a modified parameter type logarithmic Sobolev inequality with weight on Euclidean space based on the parameter type logarithmic Caffarelli-Kohn-Nirenberg inequality on Euclidean space,respectively.By virtue of the convexity of a special function equivalent to a logarithmic Hölder inequality,and combining the Sobolev in-equality and Gagliardo-Nirenberg inequality on Hörmander's vector fields,we also derive a logarithmic Sobolev inequality and a parameter type logarithmic Gagliardo-Nirenberg inequality on Hörmander's vector fields,respectively.In addition,a pa-rameter type logarithmic Sobolev inequality on Hörmander's vector fields is given by suitable stretching transformation.
年，卷(期)：
2025, 38(4)
分类号：
O175.27
机标分类号：
S
O175
TP3
在线出版日期：
2026年4月13日
