| 摘要: |
| 通过支撑函数引入了复$L_p$混合投影体的概念. 在此基础上,建立了复$L_p$混合Petty投影不等式, 得到了复$L_p$混合投影体的单调性. |
| 关键词: 复$L_p$投影体 混合投影体 Petty 投影不等式 单调性 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.018 |
| 分类号:O186.5 |
| 基金项目:Shanghai Sailing Program (17YF1413800); The National Natural Science Foundation of China (11701373) |
|
| Complex Lp mixed Petty projection inequalities |
|
MA Dan, SHI Sunping, XU Wenshuai
|
|
Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
|
| Abstract: |
| In this paper, we introduce the concept of complex $L_p$ mixed projection bodies by giving its support function. Then, we establish the complex $L_p$ mixed Petty projection inequalities. Finally, the monotonicity for complex $L_p$ mixed projection bodies is obtained. |
| Key words: complex $L_p$ projection bodies mixed projection bodies Petty projection inequality monotonicity |
