26 research outputs found
Riemann-Stieltjes operators and multipliers on spaces in the unit ball of
This paper is devoted to characterizing the Riemann-Stieltjes operators and
pointwise multipliers acting on Mbius invariant spaces ,
which unify BMOA and Bloch space in the scale of . The boundedness and
compactness of these operators on spaces are determined by means of an
embedding theorem, i.e. spaces boundedly embedded in the non-isotropic
tent type spaces .Comment: 16 page
Differences of Weighted Composition Operators on <inline-formula> <graphic file="1029-242X-2009-127431-i1.gif"/></inline-formula>
Abstract We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of .</p
Differences of Weighted Composition Operators on
We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of CN
BMO functions and Carleson measures with values in uniformly convex spaces
International audienceThis paper studies the relationship between vector-valued BMO functions and the Carleson measures defined by their gradients. Let and denote Lebesgue measures on the unit disc and the unit circle , respectively. For and a Banach space we prove that there exists a positive constant such that \sup_{z_0\in D}\int_{D}(1-|z|)^{q-1}\|\nabla f(z)\|^q P_{z_0}(z) dA(z) \le c^q\sup_{z_0\in D}\int_{\T}\|f(z)-f(z_0)\|^qP_{z_0}(z) dm(z) holds for all trigonometric polynomials with coefficients in iff admits an equivalent norm which is -uniformly convex, where The validity of the converse inequality is equivalent to the existence of an equivalent -uniformly smooth norm