Aim & Scope:

While classical work in Sobolev spaces and harmonic analysis provide one with an adequate theory of the structure of functions and inequalities in the case p>1, a simple adaptation of these results to the critical case p=1 yields suboptimal results.  In this workshop we will explore and engage in a number of topics related to this critical case, as well as dual results.  In particular, we will hear from international experts about how recent developments in constructions of special solutions to PDE, Littlewood-Paley-type extensions, and ideas from geometric measure theory enable one to achieve in these critical cases results of comparable strength to what has classically been understood in other regimes.

Invited Speakers:

Filip Rindler (University of Warwick)

Armin Schikorra (University of Pittsburgh)

Jean Van Schaftingen (Université catholique de Louvain)

Chun-Yen Shen (National Taiwan University)

Joan Verdera (Universitat Autònoma de Barcelona)

Po Lam Yung (The Chinese University of Hong Kong)

Website of Conference:(Click here,thank you.)

Registration:(Click here,thank you)

Sponsers:

National Chiao Tung University Shing-Tung Yau Center 

National Center for Theoretical Sciences