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Kernel Thesis Reproduction and Truncated Toeplitz Operators

Journal of Applied Mathematics and Physics 2023年第12期11卷 4016-4026页

作者： Zakieldeen Aboabuda Mohamed Alhassn Ali Amna Mahmoud Ahmed Bakhit Isra abdalhleem Hassan Ali Manal yagoub Ahmed Juma Tahani Mahmoud Ahmed Mohamed Sumia Izzeldeen abdallah abdelmajeed Deanship of the Preparatory Year Prince Sattam Bin Abdulaziz University Alkharj Saudi Arabia Department of Mathematic Faculty of Science University of Qassim Buraidah Saudi Arabia Department of Mathematic Gezira Collage of Technology Khartoum Sudan

Important operator characteristics (such boundedness or compactness) for particular classes of operators on particular reproducing kernel Hilbert spaces may be impacted by the behaviour of the operators on the reproducing kernels. These results have been shown for Toeplitz operators on the Paley-Wiener space, a reproducing kernel Hilbert space over C. Furthermore, we show how the norm of such an operator has no relation to the supremum of the norms of the pictures of the normalization reproducing kernels of the space. As a result, if this supremum is finite, the operator is implicitly bounded. To further demonstrate that the operator norm is not the same as the supremum of the norms of the pictures of the real normalized reproducing kernels, another example is also provided. We also set out a necessary and sufficient condition for the operators’ compactness in terms of their limiting function on the reproducing kernels.

关键词： Toeplitz Operators Compact Operator The Reproducing Kernel

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具有乘积噪声的非自治Swift-Hohenberg方程在无界区域上的渐近性（英文）

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应用数学 2019年第4期32卷 838-850页

作者：巴吉刘亭亭马巧珍西北师范大学数学与统计学院甘肃兰州730070 伦贝克科技大学教育学院数学部伦贝克南苏丹

本文研究R^2上带有时间依赖外力项与乘性噪声的随机非自治修正Swift-Hohenberg方程的动力行为.为了克服无界域上Sobolev嵌入不紧的困难,我们先定义了问题在L2(R2)上的连续共圈,并且建立了当空间变量足够大时,解尾部的一致估计.通过解的... 详细信息

本文研究R^2上带有时间依赖外力项与乘性噪声的随机非自治修正Swift-Hohenberg方程的动力行为.为了克服无界域上Sobolev嵌入不紧的困难,我们先定义了问题在L2(R2)上的连续共圈,并且建立了当空间变量足够大时,解尾部的一致估计.通过解的一致估计,我们证明了随机动力系统的拉回渐近紧性,进一步得到了随机吸引子的存在性.

关键词：随机吸引子 Swift-Hohenberg方程非自治随机动力系统连续余圈

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基于聚多糖及其衍生物的复合膜的润湿性调控及其在油水分离中的应用

基于聚多糖及其衍生物的复合膜的润湿性调控及其在油水分离中的应...

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中国化学会第一届全国纤维素学术研讨会

作者：朱丽萍 Hajo yagoub 杨曙光东华大学先进低维材料中心纤维材料改性国家重点实验室东华大学材料科学与工程学院

工业生产和生活中油污和有机污染物的排放以及石油开采运输引发的泄漏等对全球水环境造成严重的影响,因此,开发低成本且不会对环境造成二次污染的膜材料以用于处理油水混合污染物具有重要的实际意义。该研究采用纤维素纳米晶体(CNC),甲...

工业生产和生活中油污和有机污染物的排放以及石油开采运输引发的泄漏等对全球水环境造成严重的影响,因此,开发低成本且不会对环境造成二次污染的膜材料以用于处理油水混合污染物具有重要的实际意义。该研究采用纤维素纳米晶体(CNC),甲壳素纳米晶体(ChiNC)、壳聚糖(CH)、

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Atypical Presentation of Prostatic Cancer with Left Axillary and Supraclavicular Lymphadenopathy

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Open Journal of Urology 2022年第4期12卷 228-236页

作者： Mohamed Izeldeen Ibrahim abdulgadir Elsunny Hamadelnil Mutaz Mohamed Rehab Osman abdelrhman Tamir A. Mahmmoud Ahmed M. Elnour Hala yagoub Lyla M. Alagab Ahmed Gaper Hamad Department of Urology Prince Osman Digna Referral Hospital Portsudan Sudan Department of Surgery Red Sea University Portsudan Sudan Department of General Surgery Ministry of Health Sudan Department of Radiology Port Corporation Hospital Portsudan Sudan Sudan Medical Specialization Board Khartoum Sudan Prince Osman Digna Referral Hospital Portsudan Sudan

Introduction: The burden of prostatic cancer is rising in Sudan. Usually, they present late in their disease with urinary tract obstruction, hematuria, bony pain, or cachexia because there is no screening program. Here we present a patient with prostatic cancer who presented with left axillary mass as his main concern. Case Description: 82-year-old Sudanese male presented with a left axillary and left supraclavicular lymphadenopathy of a few months’ duration. He underwent a decisional biopsy which showed metastatic adenocarcinoma. Upper and lower GI endoscopy were performed but the latter was complicated by a sigmoid perforation with peritonitis. During laparatomy, multiple enlarged pelvic lymphnodes were encountered and a biopsy result suggested a metastatic prostatic neoplasm. Later, prostatic biopsy confirmed the diagnosis. The patient was treated with bilateral orchidectomy. Clinical discussion: Lymphatic metastasis to axillary lymph nodes is a very rare manifestation of prostate cancer and only a few cases have been reported in the literature. It can cause diagnostic difficulty since prostate cancer typically metastasis to the pelvic lymph node and very rarely involves he supradiaphragmatic lymph node. Conclusion: Metastatic prostatic carcinoma should be considered among the causes of supra-diaphragmatic lymph adenopathy. Careful physical and imaging examinations combined with PSA and pathological analysis are essential in the diagnosis of advanced prostate cancer with unusual presentation.

关键词： Prostatic Cancer Adenocarcinoma Axillary Metastasis Supraclavicular Metastasis Atypical Presentation

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Epidemiological Pattern of Breast Diseases among Females in the South-Western Region, Saudi Arabia

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International Journal of Clinical Medicine 2020年第5期11卷 257-269页

作者： abdulrahman Manaa Alamri Saeed Ali Alsareii Hajr Al-Wadei Awad Mohammed Al-Qahtani Salem Ali Alatef Sultan Sara Ali Alshamrani Ahmed Hamzah Almakrami abdullah Ahmed Daiel Ahlam Yahya Alyami Ashwaq Mousa Hommadi yagoub Mohammed Tahir Ali Department of Surgery College of Medicine Najran University Najran KSA Department of Community Medicine Faculty of Medicine Najran University Najran KSA College of Medicine Najran University Najran KSA Department of General surgery King Khalid Hospital Najran KSA

Background: Breast diseases cover several conditions. The majority of breast diseases are noncancerous. Some of these lesions are clinically unremarkable, which needed minimal intervention. However, some symptoms may be of clinical value and attract the attention of both the patient and the attending physician, especially when they become persistent. The study aimed to assess the prevalence, pattern, types, and clinical profile of breast diseases among females in the South-western region, during the period from 2018-2020. Methods: A retrospective record-based descriptive approach was used through reviewing medical records of all cases with breast disease attended King Khalid Hospital during the period from January 2018 to January 2020. Data extracted throng pre-structured questionnaire. Results: The study included 211 cases whose ages ranged from 18 to 58 years old with a mean age of 28.9 ± 12.8 years. Breast mass was the most recorded complaint (95.1%) followed with breast pain (32%), skin changes. Benign findings based on the final pathology report were recorded for more than two thirds of the cases, with the most common finding were fibroadenoma. Excisional biopsy and modified radical mastectomy were the most reported surgical interventions. Conclusions: In conclusion, the study revealed that the majority of the cases had benign breast disease (BBD), where fibroadenoma was the most frequent.

关键词： Breast Disease Females Incidence Pattern Predictors Epidemiolo-gylesions Biopsy

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