Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
Weighted L... Estimates for Derivates of Weighted H... Functions.
Weighted integral inequalities for maximal operators.
Weighted integral inequalities for operators of Hardy type
Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for to hold when and are N-functions with convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.
Weighted local Orlicz-Hardy spaces with applications to pseudo-differential operators [Book]
Weighted Lorentz norm inequalities for integral operators
Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote the n-th partial sum of the Fourier series of f in the orthogonal polynomials associated to w. We prove a result about uniform boundedness of the operators Sn in some weighted Lp spaces. The study of the norms of the kernels Kn related to the operators Sn allows us to obtain a relation between the Fourier series with respect to different generalized Jacobi weights.
Weighted modular inequalities for Hardy-type operators on monotone functions.
Weighted modular inequalities for monotone functions.
Weighted multi-parameter mixed Hardy spaces and their applications
Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space . Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on of operators in mixed Journé’s class.
Weighted norm estimates for the maximal operator of the Laguerre functions heat diffusion semigroup
We obtain weighted boundedness, with weights of the type , δ > -1, for the maximal operator of the heat semigroup associated to the Laguerre functions, , when the parameter α is greater than -1. It is proved that when -1 < α < 0, the maximal operator is of strong type (p,p) if p > 1 and 2(1+δ)/(2+α) < p < 2(1+δ)/(-α), and if α ≥ 0 it is of strong type for 1 < p ≤ ∞ and 2(1+δ)/(2+α) < p. The behavior at the end points of the intervals where there is strong type is studied...
Weighted norm inequalities and homogeneous cones
Weighted norm inequalities and Schur's Lemma
Weighted norm inequalities for a class of rough singular integrals.
Weighted norm inequalities for averaging operators of monotone functions.
We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
Weighted norm inequalities for Calderón-Zygmund operators without doubling conditions.
Let µ be a Borel measure on Rd which may be non doubling. The only condition that µ must satisfy is µ(B(x, r)) ≤ Crn for all x ∈ Rd, r > 0 and for some fixed n with 0 < n ≤ d. In this paper we introduce a maximal operator N, which coincides with the maximal Hardy-Littlewood operator if µ(B(x, r)) ≈ rn for x ∈ supp(µ), and we show that all n-dimensional Calderón-Zygmund operators are bounded on Lp(w dµ) if and only if N is bounded on Lp(w dµ), for a fixed p ∈ (1, ∞). Also, we prove...
Weighted norm inequalities for general maximal operators.
The main purpose of this paper is to use some of the results and techniques in [9] to further investigate weighted norm inequalities for Hardy-Littlewood type maximal operators.
Weighted Norm Inequalities for Geometric Fractional Maximal Operators.
Weighted norm inequalities for maximal functions and singular integrals
Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.
For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator Ms (0 ≤ s < n) from Lvp to Luq with q < p.