Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces

Kokilashvili, Vakhtang (Author)/ Meskhi, Alexander (Author)/ Rafeiro, Humberto (Author)/ Samko, Stefan (Author)

ISBN 10: 3319210149 / ISBN 13: 9783319210148

Verlag: Birkhäuser, 2016

Beschreibung

603 pages. French language. 9.25x6.25x1.50 inches. In Stock. Bestandsnummer des Verkäufers x-3319210149

Bibliografische Details

Titel: Integral Operators in Non-Standard Function ...

Verlag: Birkhäuser

Erscheinungsdatum: 2016

Einband: Hardcover

Zustand: Brand New

Über diesen Titel

Inhaltsangabe:

<P>THIS BOOK, THE RESULT OF THE AUTHORS' LONG AND FRUITFUL COLLABORATION, FOCUSES ON INTEGRAL OPERATORS IN NEW, NON-STANDARD FUNCTION SPACES AND PRESENTS A SYSTEMATIC STUDY OF THE BOUNDEDNESS AND COMPACTNESS PROPERTIES OF BASIC, HARMONIC ANALYSIS INTEGRAL OPERATORS IN THE FOLLOWING FUNCTION SPACES, AMONG OTHERS: VARIABLE EXPONENT LEBESGUE AND AMALGAM SPACES, VARIABLE HÖLDER SPACES, VARIABLE EXPONENT CAMPANATO, MORREY AND HERZ SPACES, IWANIEC-SBORDONE (GRAND LEBESGUE) SPACES, GRAND VARIABLE EXPONENT LEBESGUE SPACES UNIFYING THE TWO SPACES MENTIONED ABOVE, GRAND MORREY SPACES, GENERALIZED GRAND MORREY SPACES, AND WEIGHTED ANALOGUES OF SOME OF THEM.</P><P>THE RESULTS OBTAINED ARE WIDELY APPLIED TO NON-LINEAR PDES, SINGULAR INTEGRALS AND PDO THEORY. ONE OF THE BOOK'S MOST DISTINCTIVE FEATURES IS THAT THE MAJORITY OF THE STATEMENTS PROVED HERE ARE IN THE FORM OF CRITERIA.</P><P>THE BOOK IS INTENDED FOR A BROAD AUDIENCE, RANGING FROM RESEARCHERS IN THE AREA TO EXPERTS IN APPLIED MATHEMATICS AND PROSPECTIVE STUDENTS.</P>

Críticas:

“The book is intended for researchers working in diverse branches of analysis and its applications.” (Boris Rubin, zbMATH 1385.47001, 2018)

“The entire book presents a complete picture of the area in a consecutive way. It could be seen as a short encyclopedia that is very useful as a basis for deeper study but also for further research in the area.” (Nikos Labropoulos, Mathematical Reviews, August, 2017)