Global Lp estimates for degenerate Ornstein Uhlenbeck operators: a general approach

--Regarding information, the initial general data were differentiated (at the beginning of the session on informing at the general level concerning the content of the session and

In Chapter 2, our aim is to develop the regularity theory of Holder spaces adapted to L and to study estimates of operators like fractional integrals L −σ/ 2 , and fractional powers

It is shown that for a wide class of spaces, namely the locally compact σ-compact ones, the Riesz decomposition on the monoid forces the (covering) dimension of the space to be

To prove this we will introduce a square function operator and we will show that it is bounded from the space of finite real measures on R d to L 1,∞ (µ), by using Calder´

Calder´ on-Zygmund theory with non doubling measures In this section we will review some results about Calder´on-Zygmund theory for non doubling measures µ in R d satisfying the

The result is indeed stated there only for L 1 (R N ) functions, but it is well known that the Calder´ on-Zygmund decomposition and weak type estimates for singular integrals work

Finally, weincludean appendix with a proof of the John-Nirenberg theorem on spaces of homogeneous type, because it is not easy to find in the literature a proof for the Lebesgue

— Every homogeneous convex foliation of degree d on the complex projective plane has ex- actly d +1 singularities on the line at infinity, necessarily non-degenerate... Then