Sorina Barza

My research interests are in real and functional  analysis on topics connected with maximal functions, spaces of functions of bounded variation, weighted inequalities. Recently, I have been working with problems related to factorizations and dual of  weighted Cesaro spaces and spaces of functions of bounded variation.

I teach courses which are part of the Civil Engineering or Teaching education or Mathematics program, e.g.  differential and integral calculus or several variable calculus, ordinary differential equations. I am also involved in supervising of two PhD students. 

Docent in Mathematics, Karlstad University, 2009.

PhD in Mathematics,”Weighted Multidimensional Integral Inequalities and Applications”, Luleå University of Technology, Sweden, advisor Professor Lars- Erik Persson, (2000). 

M.Sc. in Mathematics, University of Bucharest, Romania (1985-1989).

1. (Joint with L.-E. Persson, J. Soria), Sharp weighted multidimensional integral inequalities for monotone functions, Math. Nachr., 210 (2000), 43--58.
2.   (Joint with L.-E. Persson, V. D.  Stepanov), On weighted multidimensional embeddings for monotone functions, Math. Scand., 88 (2001), no. 2,  303--319.
3.  (Joint with L.-E. Persson, N. Popa), A matriceal analogue of Fejer’s theory, Math. Nachr., 260 (2003), 14--20.
4.  (Joint with L.-E. Persson, J. Soria), Multidimensional rearrangement and Lorentz spaces, Acta Math. Hungar. , 104 (2004), no.3, 203--224.
5.  (Joint with V. Lie, N. Popa), Approximation of infinite matrices by matricial Haar polynomials, Ark. Mat., 43 (2005), no.2, 251--269.
6.  (Joint with Anna Kaminska, L.-E. Persson, J. Soria) Mixed norm and multidimensional Lorentz spaces, Positivity, 10 (2006), no. 3, 539--554.
7. (Joint with N. Arcozzi, J.L. Garcia- Domingo, J. Soria) Hardy’s inequalities for monotone functions on partly ordered measure spaces, Proc. Roy. Soc. Edinburgh Sect. A, 136 (2006), no. 5, 909--919.
8.  (Joint with V. Kolyada, J. Soria), Sharp constants related to the triangle inequality in Lorentz spaces, Trans. Amer. Math. Soc. 361 (2009), 5555-5574.
9. (Joint with J. Soria), Sharp constants between equivalent norms in weighted Lorentz spaces, J. Aust. Math. Soc. Vol. 88, Issue 01, Feb 2010, pp19-27.
10.  (Joint with C. Niculescu) Strong and weak weighted norm inequalities for the geometric fractional maximal operator, Bull. Aust. Math. Soc. 86 (2012), no. 2, 205–215.