TY - BOOK AU - Sawano,Yoshihiro AU - Di Fazio,Giuseppe AU - Hakim,Denny Ivanal TI - Morrey spaces: introduction and applications to integral operators and PDE's T2 - Monographs and research notes in mathematics SN - 9781003029076 AV - QA322.2 .S29 2020eb U1 - 515/.732 23 PY - 2020/// CY - Boca Raton PB - CRC Press, Taylor & Francis Group KW - MATHEMATICS / General KW - bisacsh KW - MATHEMATICS / Differential Equations KW - MATHEMATICS / Functional Analysis KW - Banach spaces KW - Harmonic analysis KW - Differential equations, Partial KW - Numerical solutions KW - Differential equations, Elliptic KW - Integral operators N1 - "A Chapman & Hall book."; 11. Multilinear operators and Morrey spaces. 12. Generalized Morrey/Morrey-Campanato spaces. 13. Generalized Orlicz-Morrey spaces. 14. Morrey spaces over metric measure spaces. 15. Weighted Morrey spaces. 16. Morrey-type spaces. 17. Pointwise product. 18. Real interpolation of Morrey spaces. 19. Complex interpolation of Morrey spaces. Bibliography. Index N2 - Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial di?erential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial di?erential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE's discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a 'from-scratch' overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader's understanding UR - https://www.taylorfrancis.com/books/9781003029076 UR - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf ER -