Weighted Morrey Spaces
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| Author | : Marcus Laurel |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 432 |
| Release | : 2024-09-02 |
| Genre | : Mathematics |
| ISBN | : 311145827X |
Download Weighted Morrey Spaces Book in PDF, Epub and Kindle
This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. A functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calderón-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calderón-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. The fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature.
| Author | : Yoshihiro Sawano |
| Publisher | : CRC Press |
| Total Pages | : 316 |
| Release | : 2020-09-16 |
| Genre | : Mathematics |
| ISBN | : 1000064077 |
Download Morrey Spaces Book in PDF, Epub and Kindle
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
| Author | : Yoshihiro Sawano |
| Publisher | : CRC Press |
| Total Pages | : 503 |
| Release | : 2020-09-16 |
| Genre | : Mathematics |
| ISBN | : 1498765521 |
Download Morrey Spaces Book in PDF, Epub and Kindle
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
| Author | : Lars-Erik Persson |
| Publisher | : |
| Total Pages | : 15 |
| Release | : 2012 |
| Genre | : |
| ISBN | : |
Download On Some Results in Weighted Morrey Spaces with Applications to PDE Book in PDF, Epub and Kindle
| Author | : Satoru Igari |
| Publisher | : |
| Total Pages | : 228 |
| Release | : 1991 |
| Genre | : Electronic books |
| ISBN | : |
Download Harmonic Analysis Book in PDF, Epub and Kindle
Contents: G. Alexopoulos: Parabolic Harnack inequalities and Riesz transforms on Lie groups of polynomial growth.- H. Arai: Harmonic analysis with respect to degenerate Laplacian on strictly pseudoconvex domains.- J.M. Ash, R. Brown: Uniqueness and nonuniqueness for harmonic functions with zero nontangential limits.- A. Carbery, E. Hernndez, F. Soria: Estimates for the Kakeya maximal operator on radial functions in Rn.- S.-Y.A. Chang, P.C. Yang: Spectral invariants of conformal metrics.- M. Christ: Remarks on the breakdown of analycity for b and Szeg kernels.- R. Coifman, S. Semmes: L2 estimates in nonlinear Fourier analysis.- Dinh Dung: On optimal recovery of multivariate periodic functions.- S.A.A. Emara: A class of weighted inequalities.- G.I. Gaudry: Some singular integrals on the affine group.- J.-P. Kahane: From Riesz products to random sets.- T. Kawazoe: A model of reduction in harmonic analysis on real rank 1 semisimple Lie groups I.- P.G. Lemari: Wavelets, spline interpolation and Lie groups.- P. Mattila: Principle values of Cauchy integrals, rectifiable measures and sets.- A. Miyachi: Extension theorems for real variable Hardy and Hardy-Sobolev spaces.- T. Mizuhara: Boundedness of some classical operators on generalized Morrey spaces.- G. Sinnamon: Interpolation of spaces defined by the level function.- T.N. Varopoulos: Groups of superpolynomial growth.- J.M. Wilson: Littlewood-Paley theory in one and two parameters.- J.M. Wilson: Two-weight norm inequalities for the Fourier transform.- Program.- List of participants.
| Author | : Loukas Grafakos |
| Publisher | : Springer |
| Total Pages | : 636 |
| Release | : 2014-11-13 |
| Genre | : Mathematics |
| ISBN | : 1493912305 |
Download Modern Fourier Analysis Book in PDF, Epub and Kindle
This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter. This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.
| Author | : Yoshihiro Sawano |
| Publisher | : CRC Press |
| Total Pages | : 429 |
| Release | : 2020-09-16 |
| Genre | : Mathematics |
| ISBN | : 1000064050 |
Download Morrey Spaces Book in PDF, Epub and Kindle
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
| Author | : Tri Dung Tran |
| Publisher | : |
| Total Pages | : 97 |
| Release | : 2015 |
| Genre | : Operator spaces |
| ISBN | : |
Download A Study of Musielak-Orlicz Hardy Spaces, Weighted Morrey Spaces and Boundedness of Operators Book in PDF, Epub and Kindle
| Author | : Yoshihiro Sawano |
| Publisher | : CRC Press |
| Total Pages | : 386 |
| Release | : 2020-06-08 |
| Genre | : Mathematics |
| ISBN | : 1000064131 |
Download Morrey Spaces Book in PDF, Epub and Kindle
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with focus on harmonic analysis in volume I and generalizations and interpolation of Morrey spaces in volume II. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
| Author | : David V. Cruz-Uribe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 289 |
| Release | : 2011-04-06 |
| Genre | : Mathematics |
| ISBN | : 303480072X |
Download Weights, Extrapolation and the Theory of Rubio de Francia Book in PDF, Epub and Kindle
This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations.
