Integral Operators in Non-Standard Function Spaces : Volume 2: Variable Exponent Holder, Morrey–Campanato and Grand Spaces
Softcover reprint of the original 1st ed. 2016
Book Details
Format
Paperback / Softback
Book Series
Operator Theory: Advances and Applications
ISBN-10
3319793268
ISBN-13
9783319793269
Edition
Softcover reprint of the original 1st ed. 2016
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 13th, 2018
Print length
434 Pages
Product Classification:
CalculusFunctional analysis & transformsFunctional analysis and transforms
Ksh 18,000.00
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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.
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.
The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
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