Multilinear Harmonic Analysis

نویسندگان

  • LOUKAS GRAFAKOS
  • Nigel Kalton
چکیده

This article contains an expanded version of the material covered by the author in two 90-minute lectures at the 9th international school on Nonlinear Analysis, Function spaces, and Applications, held in Třešt’, Czech Republic during the period September 11 to September 17, 2010. In memory of Nigel Kalton

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multilinear Operators in Harmonic Analysis and Partial Differential Equations

Grafakos’ two lectures at the Research Institute for Mathematical Sciences (RIMS), Kyoto University Workshop entitled “Harmonic Analysis and Nonlinear Partial Differential Equations”, July 4 July 6, 2011, are based on these notes.

متن کامل

Multilinear Evolution Equations for Time-Harmonic Flows in Conformally Flat Manifolds

It is shown that time-harmonic hypersurface motions in various, conformally flat, N -dimensional manifolds admit a multilinear description, L̇ = {L,M1, · · · ,MN−2}, automatically generating infinitely many conserved quantities, as well as leading to new (integrable) matrix equations. Interestingly, the conformal factor can be changed without changing L. ∗ Heisenberg Fellow On leave of absence f...

متن کامل

Multilinear Calderón–zygmund Singular Integrals

This paper contains the material covered in a minicourse given by the author at the Centre de Recerca Matemàtica in Barcelona during the period May 4–9, 2009. The course was an expanded version of a series of three lectures delivered by the author two weeks earlier (April 23–25) at the New Mexico Analysis Seminar held at the University of New Mexico in Albuquerque. The author would like to than...

متن کامل

Some Estimates for Rough Multilinear Fractional Integral Operators and Rough Multi-sublinear Fractional Maximal Operators

It is well known that, for the purpose of researching non-smoothness partial differential equation, mathematicians pay more attention to the singular integrals with rough kernel. Moreover, the fractional type operators and their weighted boundedness theory play important roles in harmonic analysis and other fields, and the multilinear operators arise in numerous situations involving product-lik...

متن کامل

Higher-Dimensional Integrable Systems from Multilinear Evolution Equations

A multilinear M -dimensional generalization of Lax pairs is introduced and its explicit form is given for the recently discovered class of time-harmonic, integrable, hypersurface motions in IR.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011