شماره ركورد كنفرانس :
5263
عنوان مقاله :
Some propeties of the space D_{2}(mu)
پديدآورندگان :
Hedayatian Karim hedayati@shirazu.ac.ir Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz, Iran. , Nikrooze Moslem nikroozmoslem72@gmail.com Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz, Iran.
كليدواژه :
Dirichlet , type spaces , Hardy spaces , derivative
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
For a finite positive Borel measure $mu$ on the unit circle the space $D_{2}(mu)$, consists of functions in the Dirichlet type space $D(mu)$ whose derivatives are in the Hardy space. We prove that polynomials are dense in $D_{2}(mu)$ and give several equivalent conditions under which the monomials $z^n$ are orthogonal in this space.
