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Fourier analysis and partial differential equations
International Conference on Fourier Analysis and Partial Differential Equations (1992 : Miraflores de la Sierra, Spain)
"Fourier Analysis and Partial Differential Equations presents the proceedings of the conference held at Miraflores de la Sierra in June 1992. These conferences are held periodically to assess new developments and results in the field. The proceedings are divided into two parts. Four mini-courses present a rich and actual piece of mathematics assuming minimal background from the audience and reaching the frontiers of present-day research. Twenty lectures cover a wide range of data in the fields of Fourier analysis and PDE. This book, representing the fourth conference in the series, is dedicated to the late mathematician Antoni Zygmund, who founded the Chicago School of Fourier Analysis, which had a notable influence in the development of the field and significantly contributed to the flourishing of Fourier analysis in Spain."--Provided by publisher
Part PART I-MEMORIAL ARTICLES -- chapter 1 Antoni Zygmund 1900-1992 -- chapter 2 Stylianos Pichorides 1940-1992 -- part PART II-MAIN LECTURES -- chapter 3 Band-Limited Wavelets -- chapter 4 A Family of Degenerate Differential Operators -- chapter 5 Solvability of Second-Order PDO's on Nilpotent Groups--A Survey of Recent Results -- chapter 6 Recent Work on Sharp Estimates in Second Order Elliptic Unique Continuation Problems -- part PART III--CONTRIBUTION ARTICLES -- chapter 7 Weighted Lipschitz Spaces Defined by a Banach Space -- chapter 8 A Note on Monotone Functions -- chapter 9 Hilbert Transforms in Weighted Distribution Spaces -- chapter 10 Failure of an Endpoint Estimate for Integrals Along Curves -- chapter 11 Spline Wavelet Bases of Weighted Spaces -- chapter 12 A Note on Hardy 'S Inequality in Orlicz Spaces -- chapter 13 A Characterization of Commutators of Parabolic Singular Integrals -- chapter 14 Inequalities for Classical Operators in Orlicz Spaces -- chapter 15 On the Herz Spaces with Power Weights -- chapter 16 On the One-Sided Hardy-Littlewood Maximal Function in the Real Line and in Dimensions Greater than One -- chapter 17 Characterization of the Besov Spaces -- chapter 18 Oscillatory Singular Integrals on Hardy Spaces -- chapter 19 Three Types of Weighted Inequalities for Integral Operators -- chapter 20 Boundary Value Problems for Higher Order Operators in Lipschitz and C[sup(1)] Domains -- chapter 21 A[sub(p)] and Approach Regions -- chapter 22 Maximal Operators Associated to Hypersurfaces with One Nonvanishing Principal Curvature.
[edited by] José García-Cuerva [and three others].
"Proceedings of the International Conference on Fourier Analysis and Partial Differential Equations held at Miraflores de la Sierra, from the 15th to the 20th of June 1992"--Preface