Bilinear Expansions of the Kernels of Some Nonselfadjoint Integral Operators
Bilinear expansions of the kernels of some nonselfadjoint integral operators.
Biseparating maps on generalized Lipschitz spaces
Let X, Y be complete metric spaces and E, F be Banach spaces. A bijective linear operator from a space of E-valued functions on X to a space of F-valued functions on Y is said to be biseparating if f and g are disjoint if and only if Tf and Tg are disjoint. We introduce the class of generalized Lipschitz spaces, which includes as special cases the classes of Lipschitz, little Lipschitz and uniformly continuous functions. Linear biseparating maps between generalized Lipschitz spaces are characterized...
Boundary vs. interior conditions associated with weighted composition operators
Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk , we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior and on the boundary respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators.
Bounded convergence theorem and integral operator for operator valued measures
Bounded operators on weighted spaces of holomorphic functions on the upper half-plane
Let v be a standard weight on the upper half-plane , i.e. v: → ]0,∞[ is continuous and satisfies v(w) = v(i Im w), w ∈ , v(it) ≥ v(is) if t ≥ s > 0 and . Put v₁(w) = Im wv(w), w ∈ . We characterize boundedness and surjectivity of the differentiation operator D: Hv() → Hv₁(). For example we show that D is bounded if and only if v is at most of moderate growth. We also study composition operators on Hv().
Boundedness and compactness of an integral operator between and a mixed norm space on the polydisk.
Boundedness and compactness of an integral operator in a mixed norm space on the polydisk.
Boundedness and compactness of Volterra type integral operators.
Boundedness and compactness of weighted composition operators between weighted Bergman spaces
We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Boundedness for a bilinear model sum operator on ℝⁿ
The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.
Boundedness of convolution operators with smooth kernels on Orlicz spaces
We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasi-distances of ℝⁿ and continuity moduli given by growth functions.
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces [Book]
Boundedness of parametrized Littlewood-Paley operators with nondoubling measures.
Boundedness of sublinear operators on the homogeneous Herz spaces.
Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.
Boundedness of the Bergman projections of spaces with radial weights
Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces.
Boundedness properties of fractional integral operators associated to non-doubling measures
The main purpose of this paper is to investigate the behavior of fractional integral operators associated to a measure on a metric space satisfying just a mild growth condition, namely that the measure of each ball is controlled by a fixed power of its radius. This allows, in particular, non-doubling measures. It turns out that this condition is enough to build up a theory that contains the classical results based upon the Lebesgue measure on Euclidean space and their known extensions for doubling...
Bukhvalov type characterizations of Urysohn operators
-Estimates for certain kernels on local fields