Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey Campanato and Grand Spaces

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

ISBN 10: 3319210173 / ISBN 13: 9783319210179

Verlag: Birkhäuser, 2016

Beschreibung

465 pages. French language. 9.50x6.50x1.25 inches. In Stock. Bestandsnummer des Verkäufers x-3319210173

Bibliografische Details

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

Verlag: Birkhäuser

Erscheinungsdatum: 2016

Einband: Hardcover

Zustand: Brand New

Über diesen Titel

Inhaltsangabe:

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>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 entire book, which is written in a complete consecutive way of presentation of the material, could be considered as a short encyclopedia, very useful for providing a basis for further research in the area.” (Nikos Labropoulos, Mathematical Reviews, August, 2017)