02501nam 22004935 450 991103516280332120251027120433.0978303202952210.1007/978-3-032-02952-2(CKB)41826860300041(MiAaPQ)EBC32379039(Au-PeEL)EBL32379039(DE-He213)978-3-032-02952-2(EXLCZ)994182686030004120251027d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA Gentle Invitation to the Fractional World /by Nicola Abatangelo, Serena Dipierro, Enrico Valdinoci1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (389 pages)La Matematica per il 3+2,2038-5757 ;1769783032029515 Chapter 1. Equivalent definitions of the fractional Laplacian -- Chapter 2. Some explicit calculations of fractional Laplacians -- Chapter 3. Liouville-type results -- Chapter 4. Regularity theory in Lebesgue spaces for global solutions -- Chapter 5. Interior regularity theory in Lebesgue spaces.The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "singular-integral" fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the regularity theory in L^p spaces, by going through Bessel and Besov spaces. A number of appendices then go over additional material in order to make the exposition as self-contained as possible. The book is suitable for a PhD course but can be also read by advanced undergraduates. It contains didactic elements, but it is also useful for researchers, since it collects essential material in a concise and self-constrained way.La Matematica per il 3+2,2038-5757 ;176Mathematical analysisAnalysisMathematical analysis.Analysis.515Abatangelo Nicola1853595Dipierro Serena767361Valdinoci Enrico732193MiAaPQMiAaPQMiAaPQBOOK9911035162803321A Gentle Invitation to the Fractional World4450168UNINA