A generalized Rosenthal＇s inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexi...A generalized Rosenthal＇s inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexity of the underlying Banach space. As an application of this inequality, the strong law of large numbers for Banach-space-valued martingales is also given.展开更多
Background: Various conservative methods for treatment of labial swelling in patients with cheilitis granulomatosa have been attempted, often with only moderate success and sometimes with persistent disfiguring lip sw...Background: Various conservative methods for treatment of labial swelling in patients with cheilitis granulomatosa have been attempted, often with only moderate success and sometimes with persistent disfiguring lip swelling. Severe macrocheilia can produce an unaesthetic facial deformity associated with functional disturbances. In patients with persistent macrocheilia, reduction cheiloplasty with excision of excess tissue may be indicated when conservative treatment has proven ineffective in reducing swelling but may have been successful in stabilizing disease. Objective: To evaluate long- term results after reduction cheiloplasty in patients with macrocheilia caused by Melkersson- Rosenthal syndrome or cheilitis granulomatosa. Design: Follow- up study in 7 patients with severe persisting macrocheilia, including 3 patients with Melkersson- Rosenthal syndrome and 4 patients with cheilitis granulomatosa in a stable state of disease, treated by reduction cheiloplasty at our hospital between January 1, 1987, and December 31, 2002. Preoperative and postoperative medical histories were obtained, and criteria for the success of surgical treatment were evaluated by clinical examination. Different techniques of reduction cheiloplasty are described and demonstrated in representative cases of severe macrocheilia. Results: Surgical treatment in all 7 patients showed satisfying aesthetic and functional outcomes that persisted throughout follow- up (median follow- up, 6.5 years). Conclusions: Reduction cheiloplasty is an effective method to correct persistent macrocheilia and improve lip aesthetics in patients with Melkersson- Rosenthal syndrome or granulomatous cheilitis in the persistent state of disease. With careful planning, proper sequencing of treatment, and proficiency in the various surgical techniques, optimal results can be achieved.展开更多
基金Supported by National Natural Science Foundation of China(11201354)Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(Y201321)National Natural Science Foundation of Pre-Research Item(2011XG005)
基金Supported by the Scientific Research Foundation of Hubei Province (D200613001)the National Natural Science Foundation of China (10371093)
文摘A generalized Rosenthal＇s inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexity of the underlying Banach space. As an application of this inequality, the strong law of large numbers for Banach-space-valued martingales is also given.
基金Supported by Scientific Program of Department of Education of Jiangxi Province of China(GJJ150894)National Natural Science Foundation of China(61662037)
文摘Background: Various conservative methods for treatment of labial swelling in patients with cheilitis granulomatosa have been attempted, often with only moderate success and sometimes with persistent disfiguring lip swelling. Severe macrocheilia can produce an unaesthetic facial deformity associated with functional disturbances. In patients with persistent macrocheilia, reduction cheiloplasty with excision of excess tissue may be indicated when conservative treatment has proven ineffective in reducing swelling but may have been successful in stabilizing disease. Objective: To evaluate long- term results after reduction cheiloplasty in patients with macrocheilia caused by Melkersson- Rosenthal syndrome or cheilitis granulomatosa. Design: Follow- up study in 7 patients with severe persisting macrocheilia, including 3 patients with Melkersson- Rosenthal syndrome and 4 patients with cheilitis granulomatosa in a stable state of disease, treated by reduction cheiloplasty at our hospital between January 1, 1987, and December 31, 2002. Preoperative and postoperative medical histories were obtained, and criteria for the success of surgical treatment were evaluated by clinical examination. Different techniques of reduction cheiloplasty are described and demonstrated in representative cases of severe macrocheilia. Results: Surgical treatment in all 7 patients showed satisfying aesthetic and functional outcomes that persisted throughout follow- up (median follow- up, 6.5 years). Conclusions: Reduction cheiloplasty is an effective method to correct persistent macrocheilia and improve lip aesthetics in patients with Melkersson- Rosenthal syndrome or granulomatous cheilitis in the persistent state of disease. With careful planning, proper sequencing of treatment, and proficiency in the various surgical techniques, optimal results can be achieved.
