Morrey Spaces: Introduction and Applications to Integral Operators and Pde's, Volume I

ISBN-13: 9781498765510 / Angielski / Twarda / 2020 / 480 str.

Yoshihiro Sawano; Giuseppe Di Fazio; Denny I. Hakim

Opis

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 I focused mainly on harmonic analysis.

 

Spis treści

1. Banach function lattices.  2. Fundamental facts in functional analysis.  3. Polynomials and harmonic functions.  4. Various operators in Lebesgue spaces.  5. BMO spaces and Morrey-Campanato spaces.  6. General metric measure spaces.  7. Weighted Lebesgue spaces.  8. Approximations in Morrey spaces.  9. Predual of Morrey spaces.  10. Linear and sublinear operators in Morrey spaces.  Bibliography.  Index.