Aspects of the Theory of Bounded Integral Operators in Lp-spaces PDF Download
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Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542
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Book Description
Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542
Get Book Here
Book Description
Author: G. O. Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522
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Book Description
Author: George O. Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522
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Book Description
Author: P. R. Halmos
Publisher: Springer Science & Business Media
ISBN: 3642670164
Category : Mathematics
Languages : en
Pages : 147
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Book Description
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.
Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522
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Book Description
Author: George O. Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 502
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Book Description
![Bounded Integral Operators on L [squared] Spaces PDF](https://books.google.com/books/content/images/frontcover/78nV0AEACAAJ?fife=w80-h100)
Author: Paul Richard Halmos
Publisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 0
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Book Description
Author: Vakhtang Kokilashvili
Publisher: Birkhäuser
ISBN: 3319210157
Category : Mathematics
Languages : en
Pages : 585
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Book Description
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.
Author: Ioseb Genebashvili
Publisher: CRC Press
ISBN: 9780582302952
Category : Mathematics
Languages : en
Pages : 432
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Book Description
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.
Author: Viktor G. Kravchenko
Publisher: Springer Science & Business Media
ISBN: 9401111804
Category : Mathematics
Languages : en
Pages : 304
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Book Description
This book is devoted to the Fredholm theory of singular integral operators with shift in Lp, 1
