Theory of Henstock-Orlicz Spaces
暫譯: 亨斯托克-奧爾利茲空間理論

本書系統性地探討了Henstock-Orlicz（或稱H-Orlicz）空間，對於Young函數的假設要求最小。H-Orlicz空間包含了稱為Henstock-Kurzweil可積分函數的非絕對可積分函數。書中詳細介紹了經典泛函分析的結果，並包含了有關經典分析的新材料。利用外推法證明了例如Henstock-Dunford可積分函數在H-Orlicz空間上的可數可加性。討論了H-Orlicz空間的模收斂與範數收斂之間的關係。最後，提供了H空間的中心幾何結果，包括均勻凸性、反射性以及H-Orlicz空間的Radon-Nikodym性質。本書主要針對對Orlicz空間或廣義Orlicz空間感興趣的研究人員和博士生，亦可作為高級研究生分析課程的基礎教材。

Bipan Hazarika is a Professor of Department of Mathematics, Gauhati University, Guwahati, Assam. Earlier, he worked at Rajiv Gandhi University, Arunachal Pradesh, India from 2005 to 2017. He was Professor at Rajiv Gandhi University up to 2017. He received an M.Sc. and Ph.D. from Gauhati University, Guwahati, India. His main research areas are sequences spaces, summability theory, applications of fixed point theory and measure of noncompactness, fuzzy analysis, and non-absolute integrable function spaces. He published more than 200 research articles in several renowned international journals. He is a regular reviewer of more than 50 different journals published by Springer, Elsevier, Taylor and Francis, Wiley, IOS Press, World Scientific, American Mathematical Society, IEEE, De Gruyter, etc. He published books on Differential Equations, Differential Calculus and Integral Calculus. He published a monograph "Non-Newtonian Sequence Spaces with Applications" in Chapman and Hall/CRC press. Recently he edited following books: "Sequence Spaces Theory and Applications, "Advances in Mathematics Analysis and its Applications", "Dynamic Equations on Time Scales and Applications", Chapman and Hall/CRC press, "Fixed Point Theory and Fractional Calculus: Recent Advances and Applications", "Approximation Theory, Sequence Spaces and Applications", "Advances in Topology, Dynamical Systems, and Interdisciplinary Applications" Springer, and "Generalized Integral and Applications" World Scientific. He is an editorial board member of more than 10 international journals and guest editor of a special issue named "Sequence spaces, Function spaces and Approximation Theory" of Journal of Function Spaces, Special Issue on "International Conference of Nonlinear Analysis and Applications (ICNAA-2022)" of Journal of Nonlinear and Convex Analysis, "Advances in Nonlinear Functional Analysis on Fractional Differential Equations", Fractal and Fractional, MDPI, "Symmetry in Fixed Point Theory and Applications", Symmetry, MDPI. In 2022, 2023 and 2024 he was listed among the world's top 2% Scientists by Stanford University.

Hemanta Kalita is Assistant Professor, Mathematics Division, VIT Bhopal University, Kothri Kalan, Bhopal-Indore Highway, Sehore, Madhya Pradesh, India. A PhD from Gauhati University under the guidance of Prof. Bipan Hazarika, he has an academic experience of 12 years and has worked in various capacity. With more than 35 research papers in peer-reviewed international journals and 2 papers in international conferences held in India and abroad, he has organized the International Conference (ICNAA-2022) at Assam Don Bosco University, and the International Conference on Nonlinear Analysis and Computational Techniques (ICNACT-2024) at VIT Bhopal University. An invited speaker at Usak University, Turkey, he has edited two issues of the Journal of Nonlinear and Convex Analysis as a Guest Editor, in 2023 and 2024. Presently, he is handling several special issues of many reputed journals, such as Mathematical Notes, Journal of nonlinear and Convex Analysis, and Thermal Sciences, to name a few. On the editorial board of a few international journals, his primary research areas are in sequence spaces, summability theory, fixed point theory, fuzzy analysis and function spaces of non-absolute integrable functions. He has research collaborators in several countries of Europe, USA, Asian and Africa.

比潘·哈札里卡（Bipan Hazarika）是印度阿薩姆邦古瓦哈提大學（Gauhati University）數學系的教授。早前，他於2005年至2017年在印度阿魯納恰爾邦的拉吉夫·甘地大學（Rajiv Gandhi University）工作，並在該校擔任教授直至2017年。他在古瓦哈提大學獲得碩士（M.Sc.）和博士（Ph.D.）學位。他的主要研究領域包括序列空間、求和理論、固定點理論及非緊性度量的應用、模糊分析以及非絕對可積函數空間。他在多個知名國際期刊上發表了超過200篇研究文章。他是超過50本由Springer、Elsevier、Taylor and Francis、Wiley、IOS Press、World Scientific、美國數學學會（American Mathematical Society）、IEEE、De Gruyter等出版的不同期刊的常任審稿人。他出版了有關微分方程、微分計算和積分計算的書籍。他在Chapman and Hall/CRC出版社出版了一本專著《非牛頓序列空間及其應用》（Non-Newtonian Sequence Spaces with Applications）。最近，他編輯了以下書籍：《序列空間理論與應用》（Sequence Spaces Theory and Applications）、《數學分析及其應用的進展》（Advances in Mathematics Analysis and its Applications）、《時間尺度上的動態方程及其應用》（Dynamic Equations on Time Scales and Applications，Chapman and Hall/CRC出版社）、《固定點理論與分數微積分：近期進展與應用》（Fixed Point Theory and Fractional Calculus: Recent Advances and Applications）、《逼近理論、序列空間及其應用》（Approximation Theory, Sequence Spaces and Applications）、《拓撲學、動態系統及跨學科應用的進展》（Advances in Topology, Dynamical Systems, and Interdisciplinary Applications，Springer）以及《廣義積分及其應用》（Generalized Integral and Applications，World Scientific）。他是超過10本國際期刊的編輯委員會成員，並擔任《函數空間期刊》（Journal of Function Spaces）特刊《序列空間、函數空間與逼近理論》的客座編輯，以及《非線性與凸分析期刊》（Journal of Nonlinear and Convex Analysis）特刊《非線性分析與應用國際會議（ICNAA-2022）》的客座編輯、《分數微分方程的非線性泛函分析進展》（Advances in Nonlinear Functional Analysis on Fractional Differential Equations）、《分形與分數》（Fractal and Fractional，MDPI）、《固定點理論與應用中的對稱性》（Symmetry in Fixed Point Theory and Applications，Symmetry，MDPI）。在2022年、2023年和2024年，他被史丹佛大學列為全球前2%的科學家。

海曼塔·卡利塔（Hemanta Kalita）是印度中央邦VIT博帕爾大學（VIT Bhopal University）數學部的助理教授。他在古瓦哈提大學獲得博士學位，指導教授為比潘·哈札里卡，擁有12年的學術經驗，並在多個職位上工作過。他在同行評審的國際期刊上發表了超過35篇研究論文，並在印度及國外的國際會議上發表了2篇論文。他組織了在阿薩姆·唐·博斯科大學舉行的國際會議（ICNAA-2022），以及在VIT博帕爾大學舉行的非線性分析與計算技術國際會議（ICNACT-2024）。他曾受邀在土耳其的烏薩克大學（Usak University）演講，並在2023年和2024年作為客座編輯編輯了《非線性與凸分析期刊》（Journal of Nonlinear and Convex Analysis）的兩期。目前，他負責多本知名期刊的多個特刊，例如《數學筆記》（Mathematical Notes）、《非線性與凸分析期刊》（Journal of nonlinear and Convex Analysis）和《熱科學》（Thermal Sciences）等。他是幾本國際期刊的編輯委員會成員，主要研究領域包括序列空間、求和理論、固定點理論、模糊分析及非絕對可積函數的函數空間。他在歐洲、美國、亞洲和非洲的多個國家有研究合作夥伴。