IST IST

Seminar on
Functional Analysis and Applications

Supported by The Center for Functional Analysis and Applications - CEAF
and FCT projects POCTI/MAT/59972/2004, PTDC/MAT/81385/2006.


  •   May 21, 2010 , Friday - 15h15 (Room P 3.10):

Off-diagonal estimations of Hardy and potential operators in Morrey spaces

  Natasha Samko

(Universidade do Algarve, Faro)

Abstract. We study the weighted p->q-boundedness of multi-dimensional Hardy type operators in Morrey spaces for a class of almost monotonic weights. The obtained results are applied to a similar weighted p->q-boundedness of the Riesz potential operator. The conditions on weights, both for the Hardy and potential operators are necessary and sufficient in the case of power weights. In the case of more general weights we provide separately necessary and sufficient conditions.


Seminars take place in Lisbon, I.S.T. - Post Graduation Building

Webpage: http://www.math.ist.utl.pt/funcional