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Softcover ISBN:  9780821851135 
Product Code:  CONM/107 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821876954 
Product Code:  CONM/107.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821851135 
eBook ISBN:  9780821876954 
Product Code:  CONM/107.B 
List Price:  $255.00$192.50 
MAA Member Price:  $229.50$173.25 
AMS Member Price:  $204.00$154.00 

Book DetailsContemporary MathematicsVolume: 107; 1990; 129 ppMSC: Primary 35; 42; 00;
This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial differential equations and present results of some of the foremost experts in these areas. Among the topics covered are: application of fully nonlinear, uniformly elliptic equations to the Monge Ampère equation; estimates for Green functions for the purpose of studying Dirichlet problems for operators in nondivergence form; an extension of classical potential theory to the case of nonsmooth domains; the relation between Riesz potentials and maximal fractional operators due to Muckenhoupt and Wheeden; and the LaxPhillips scattering theory applied to the double Hilbert transform. Directed at research mathematicians and graduate students, the papers require knowledge of the classical tools of analysis, such as measure theory, Sobolev spaces, and potential theory.

Table of Contents

Articles

Bartolomé Barceló, Luis Escauriaza and Eugene Fabes  Gradient estimates at the boundary for solutions to nondivergence elliptic equations [ MR 1066466 ]

Luis A. Caffarelli  Interior regularity of solutions to MongeAmpère equations [ MR 1066467 ]

Mischa Cotlar and Cora Sadosky  The HelsonSzegő theorem in $L^p$ of the bidimensional torus [ MR 1066468 ]

Björn E. J. Dahlberg and Greg Verchota  Galerkin methods for the boundary integral equations of elliptic equations in nonsmooth domains [ MR 1066469 ]

Robert Fefferman  Some applications of Hardy spaces and BMO in harmonic analysis and partial differential equations [ MR 1066470 ]

B. Jawerth, C. Perez and G. Welland  The positive cone in TriebelLizorkin spaces and the relation among potential and maximal operators [ MR 1066471 ]

R. Johnson  Changes of variable and $A_p$ weights [ MR 1066472 ]

Carlos E. Kenig  Progress on two problems posed by Rivière [ MR 1066473 ]

A. C. Lazer and P. J. McKenna  Fredholm theory for periodic solutions of some semilinear P.D.E.s with homogeneous nonlinearities [ MR 1066474 ]

Walter A. Strauss  Stability of solitary waves [ MR 1066475 ]


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This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial differential equations and present results of some of the foremost experts in these areas. Among the topics covered are: application of fully nonlinear, uniformly elliptic equations to the Monge Ampère equation; estimates for Green functions for the purpose of studying Dirichlet problems for operators in nondivergence form; an extension of classical potential theory to the case of nonsmooth domains; the relation between Riesz potentials and maximal fractional operators due to Muckenhoupt and Wheeden; and the LaxPhillips scattering theory applied to the double Hilbert transform. Directed at research mathematicians and graduate students, the papers require knowledge of the classical tools of analysis, such as measure theory, Sobolev spaces, and potential theory.

Articles

Bartolomé Barceló, Luis Escauriaza and Eugene Fabes  Gradient estimates at the boundary for solutions to nondivergence elliptic equations [ MR 1066466 ]

Luis A. Caffarelli  Interior regularity of solutions to MongeAmpère equations [ MR 1066467 ]

Mischa Cotlar and Cora Sadosky  The HelsonSzegő theorem in $L^p$ of the bidimensional torus [ MR 1066468 ]

Björn E. J. Dahlberg and Greg Verchota  Galerkin methods for the boundary integral equations of elliptic equations in nonsmooth domains [ MR 1066469 ]

Robert Fefferman  Some applications of Hardy spaces and BMO in harmonic analysis and partial differential equations [ MR 1066470 ]

B. Jawerth, C. Perez and G. Welland  The positive cone in TriebelLizorkin spaces and the relation among potential and maximal operators [ MR 1066471 ]

R. Johnson  Changes of variable and $A_p$ weights [ MR 1066472 ]

Carlos E. Kenig  Progress on two problems posed by Rivière [ MR 1066473 ]

A. C. Lazer and P. J. McKenna  Fredholm theory for periodic solutions of some semilinear P.D.E.s with homogeneous nonlinearities [ MR 1066474 ]

Walter A. Strauss  Stability of solitary waves [ MR 1066475 ]