- Weighted Inequalities and Lipschitz Spaces

- Tupputi, Maria Rosaria <1981>

- MAT/05 Analisi matematica

- In this thesis I have characterized the trace measures for particular potential spaces of functions defined on R^n, but "mollified" so that the potentials are de facto defined on the upper half-space of R^n. The potential functions are kind Riesz-Bessel. The characterization of trace measures for these spaces is a test condition on elementary sets of the upper half-space. To prove the test condition as sufficient condition for trace measures, I had give an extension to the case of upper half-space of the Muckenhoupt-Wheeden and Wolff inequalities. Finally I characterized the Carleson-trace measures for Besov spaces of discrete martingales. This is a simplified discrete model for harmonic extensions of Lipschitz-Besov spaces.

- 2012-06-08

- Doctoral Thesis

- PeerReviewed

- application/pdf

urn:nbn:it:unibo-2996

Tupputi, Maria Rosaria (2012) Weighted Inequalities and Lipschitz Spaces, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica