Boundedness of generalized fractional integral operators on Orlicz spaces near over metric measure spaces
We are concerned with the boundedness of generalized fractional integral operators from Orlicz spaces near to Orlicz spaces over metric measure spaces equipped with lower Ahlfors -regular measures, where is a function of the form and is of log-type. We give a generalization of paper by Mizuta et al. (2010), in the Euclidean setting. We deal with both generalized Riesz potentials and generalized logarithmic potentials.
Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.
We describe a class O of nonlinear operators which are bounded on the Lizorkin-Triebel spaces Fsp,q(Rn), for 0 < s < 1 and 1 < p, q < ∞. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on Fsp,q(Rn), for 0 < s < 1 and 1 < p, q < ∞ ; this extends the result of Kinnunen (1997), valid for the Sobolev space H1p(Rn).
Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents. The main result of this paper is on the boundedness of the Hardy-Littlewood maximal operator on the block space with...
Boundedness of higher-order Marcinkiewicz-type integrals.
Boundedness of linear maps
In this short note we consider necessary and sufficient conditions on normed linear spaces, that ensure the boundedness of any linear map whose adjoint maps extreme points of the unit ball of the domain space to continuous linear functionals.
Boundedness of Littlewood-Paley operators associated with Gauss measures.
Boundedness of Littlewood-Paley operators relative to non-isotropic dilations
We consider Littlewood-Paley functions associated with a non-isotropic dilation group on . We prove that certain Littlewood-Paley functions defined by kernels with no regularity concerning smoothness are bounded on weighted spaces, , with weights of the Muckenhoupt class. This, in particular, generalizes a result of N. Rivière (1971).
Boundedness of multilinear operators on Triebel-Lizorkin spaces.
Boundedness of parametrized Littlewood-Paley operators with nondoubling measures.
Boundedness of sublinear operators in Triebel-Lizorkin spaces via atoms
Let s ∈ ℝ, p ∈ (0,1] and q ∈ [p,∞). It is proved that a sublinear operator T uniquely extends to a bounded sublinear operator from the Triebel-Lizorkin space to a quasi-Banach space ℬ if and only if sup: a is an infinitely differentiable (p,q,s)-atom of < ∞, where the (p,q,s)-atom of is as defined by Han, Paluszyński and Weiss.
Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces.
Boundedness of the wavelet transform in certain function spaces.
Boundedness on Hardy-Sobolev spaces for hypersingular Marcinkiewicz integrals with variable kernels.
Bounding Subsets of a Banach Space.
Bounds for the spectral radius of positive operators
Let be a non-zero positive vector of a Banach lattice , and let be a positive linear operator on with the spectral radius . We find some groups of assumptions on , and under which the inequalities hold. An application of our results gives simple upper and lower bounds for the spectral radius of a product of positive operators in terms of positive eigenvectors corresponding to the spectral radii of given operators. We thus extend the matrix result obtained by Johnson and Bru which...
Bounds for Twisted Convolution Operators
Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model
Bounds on the Segal-Bargmann Transform of L... Functions.
Bourgain algebras of G-disc algebras