Integral Operators in Potential Theory PDF Download
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Author: Josef Kral
Publisher: Springer
ISBN: 3540382887
Category : Mathematics
Languages : en
Pages : 175
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Book Description
Author: Josef Kral
Publisher: Springer
ISBN: 3540382887
Category : Mathematics
Languages : en
Pages : 175
Get Book Here
Book Description
Author: Derbiau Frank Hsu
Publisher:
ISBN: 9780387102276
Category : Algebraic fields
Languages : en
Pages : 170
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Book Description
Author: Josef Král
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Book Description
Author: David E. Edmunds
Publisher: Springer Science & Business Media
ISBN: 940159922X
Category : Mathematics
Languages : en
Pages : 655
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Book Description
The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. Itfocuses onintegral operators naturally arising in boundary value problems for PDE, the spectral theory of differential operators, continuum and quantum mechanics, stochastic processes etc. The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness point of view. A characteristic feature of the monograph is that most of the statements proved here have the form of criteria. These criteria enable us, for example, togive var ious explicit examples of pairs of weighted Banach function spaces governing boundedness/compactness of a wide class of integral operators. The book has two main parts. The first part, consisting of Chapters 1-5, covers theinvestigation ofclassical operators: Hardy-type transforms, fractional integrals, potentials and maximal functions. Our main goal is to give a complete description of those Banach function spaces in which the above-mentioned operators act boundedly (com pactly). When a given operator is not bounded (compact), for example in some Lebesgue space, we look for weighted spaces where boundedness (compact ness) holds. We develop the ideas and the techniques for the derivation of appropriate conditions, in terms of weights, which are equivalent to bounded ness (compactness).
Author: R. P. Gilbert
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
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Book Description
The solutions of the partial differential equa tion for generalized axially symmetric potentials are investigated by means of integral operators. Results concerning singularities, residues, bounds, and growth are found, which are analogous to those of classical, analytic function theory. (Author).
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: Masanori Kishi
Publisher: Walter de Gruyter
ISBN: 3110859068
Category : Mathematics
Languages : en
Pages : 417
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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: Josef Kral
Publisher: Walter de Gruyter
ISBN: 3110818574
Category : Mathematics
Languages : en
Pages : 513
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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: E. J. Specht
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 104
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Book Description
Author: C. Berg
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Book Description
