PLAN RADA SEMINARA ZA JUN 2005.

Cetvrtak, 02. jun u 12 h.
12h Z. R. Pop-Stojanovic, Professor Emeritus, Department of Mathematics, University of Florida, Gainesville, Florida 32611, {zps@math.ufl.edu}:

BROWNIAN POTENTIALS AND BESOV SPACES

15h Z. R. Pop-Stojanovic:

BROWNIAN POTENTIALS AND BESOV SPACES nastavak predavanja

Cetvrtak, 09. jun u 12 h.
12h Z. R. Pop-Stojanovic:

BROWNIAN POTENTIALS AND BESOV SPACES nastavak predavanja

15h Z. R. Pop-Stojanovic:

BROWNIAN POTENTIALS AND BESOV SPACES nastavak predavanja

These lectures will present results obtained jointly with M. Rao and H. Sikic in [Brownian Potentials and Besov Spaces, J. Math. Soc. Japan, Vol. 50, No. 2, (1958), 331-337], and later, concerning the c haracterization of Brownian Potentials in terms of a special type of interpolation spaces known as Besov Spaces. The main connection between these two concepts is based on the fact that Brownian potentials of finite measures given over bounded domains in $\rd$, belong to Besov Spaces. In the theory of function spaces, a class of spaces of distributions given on an Euclidean n-space, consists of Besov spaces $B_{pg}^{\al},$ where $\al\in\r, \; 0 0$ and $1\le p,q\le+\infty,$ these spaces were introduced in 1959 by O. V. Besov. [ On a family of function spaces. Embedding theorems and extensions, Dokl. Akad. Nauk. SSSR, (126), (1959), 1163--1165.] (However, the standard references on the subject are found in books by H. Triebel.[ Theory of Function Spaces, Birkh\"auser, Basel, 1983, and Theory of Function Spaces II, Birkh\"auser, Basel, 1992.]). Using these spaces, it will be shown, among other things, that under some assumptions, the so-called gauge function, which is a solution of the Schr\"odinger equation, belongs to the Besov space $\bpp (\Om),$ for $p

Slobodanka Jankovic i Svetlana Jankovic
rukovodioci seminara