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Integral operators in non-standard function spaces.. Volume 2,. Variable exponent Holder, Morrey--Campanato and grand spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Integral operators in non-standard function spaces./ by Vakhtang Kokilashvili ... [et al.].
其他題名:	Variable exponent Holder, Morrey--Campanato and grand spaces
其他作者:	Kokilashvili, Vakhtang.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xxiii, 1003 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Integral operators. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-21018-6
ISBN:	9783319210186

Integral operators in non-standard function spaces.. Volume 2,. Variable exponent Holder, Morrey--Campanato and grand spaces
Integral operators in non-standard function spaces.Volume 2,Variable exponent Holder, Morrey--Campanato and grand spaces[electronic resource] /Variable exponent Holder, Morrey--Campanato and grand spacesby Vakhtang Kokilashvili ... [et al.]. - Cham :Springer International Publishing :2016. - xxiii, 1003 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2490255-0156 ;. - Operator theory: advances and applications ;v.212..

IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Maximal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index.IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Maximal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index.

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 Holder 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.

ISBN: 9783319210186

Standard No.: 10.1007/978-3-319-21018-6doiSubjects--Topical Terms:

683007
Integral operators.

LC Class. No.: QA329.6

Dewey Class. No.: 515.723

Integral operators in non-standard function spaces.. Volume 2,. Variable exponent Holder, Morrey--Campanato and grand spaces
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520 $a 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 Holder 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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