Theory Of Sobolev Multipliers
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Theory of Sobolev Multipliers
Author | : Vladimir Maz'ya,Tatyana O. Shaposhnikova |
Publsiher | : Springer |
Total Pages | : 614 |
Release | : 2009-08-29 |
Genre | : Mathematics |
ISBN | : 3540865713 |
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The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Theory of Sobolev Multipliers
![Theory of Sobolev Multipliers](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 609 |
Release | : 2009 |
Genre | : Differential operators |
ISBN | : 7510048079 |
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Theory of Sobolev Multipliers
Author | : Vladimir Maz'ya,Tatyana O. Shaposhnikova |
Publsiher | : Springer Science & Business Media |
Total Pages | : 615 |
Release | : 2008-10-13 |
Genre | : Mathematics |
ISBN | : 9783540694922 |
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The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Theory of Multipliers in Spaces of Differentiable Functions
Author | : V. G. Mazʹi︠a︡,T. O. Shaposhnikova |
Publsiher | : Pitman Publishing |
Total Pages | : 368 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : UCAL:B4405249 |
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Theory of Multipliers in Spaces of Differential Functions
![Theory of Multipliers in Spaces of Differential Functions](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Vladimir G. Maz'ya,T. O. Shaposhnikova |
Publsiher | : Halsted Press |
Total Pages | : 354 |
Release | : 1986-05-01 |
Genre | : Electronic Book |
ISBN | : 0470205423 |
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The Theory of Ultraspherical Multipliers
Author | : William Carroll Connett,Alan Lee Schwartz |
Publsiher | : American Mathematical Soc. |
Total Pages | : 100 |
Release | : 1977 |
Genre | : Besov spaces |
ISBN | : 9780821821831 |
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Many multiplier theorems of Fourier analysis have analogs for ultraspherical expansions. But what was a single theorem in the Fourier setting becomes an entire family of theorems in this more general setting. The problem solved in this paper is that of organizing the children of the Fourier theorems, and many new theorems besides, into a coherent theory. The most critical step in this organization is identifying a family of Banach spaces which include the sequences described in the classical multiplier theorems as special cases. Once this family is found, the next step is to develop the methods of interpolation necessary to show that this family forms a scale of spaces--in the sense that if two spaces in the family act as multipliers on L[superscript]p, then all spaces "between" these two spaces act as multipliers on L[superscript]p.
Harmonic Analysis and Partial Differential Equations
Author | : Anatoly Golberg,Peter Kuchment,David Shoikhet |
Publsiher | : Springer Nature |
Total Pages | : 319 |
Release | : 2023-04-26 |
Genre | : Mathematics |
ISBN | : 9783031254246 |
Download Harmonic Analysis and Partial Differential Equations Book in PDF, Epub and Kindle
Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Beyond Sobolev and Besov
Author | : Cornelia Schneider |
Publsiher | : Springer Nature |
Total Pages | : 339 |
Release | : 2021-05-31 |
Genre | : Mathematics |
ISBN | : 9783030751395 |
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This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov– and Triebel–Lizorkin spaces, but also in quite general smoothness Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed topics.