Weak bounds for the maximal function in weighted Orlicz spaces
Weak compactness and convergence in two-parameter martingale Hardy spaces and the dual of the VMO space.
Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.
We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
Weak type endpoint bounds for Bochner-Riesz multipliers.
Weak type estimates for certain Calderón-Zygmund singular integral operators
We prove weak type (1,1) estimates for a special class of Calderón-Zygmund homogeneous kernels represented as l¹ sums of "equidistributed" H¹ atoms on 𝕊¹.
Weak type estimates for operators of potential type
We derive two-weight weak type estimates for operators of potential type in homogeneous spaces. The conditions imposed on the weights are testing conditions of the kind first studied by E. T. Sawyer [4]. We also give some applications to strong type estimates as well as to operators on half-spaces.
Weak type inequalities for maximal operators associated to double ergodic sums.
Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces
Weak*-Dense Subspaces of Loo (R).
Weak-strong convolution operators on certain disconnected groups
Weak-type (1,1) bounds for oscillatory singular integrals with rational phases
We consider singular integral operators on ℝ given by convolution with a principal value distribution defined by integrating against oscillating kernels of the form where R(x) = P(x)/Q(x) is a general rational function with real coefficients. We establish weak-type (1,1) bounds for such operators which are uniform in the coefficients, depending only on the degrees of P and Q. It is not always the case that these operators map the Hardy space H¹(ℝ) to L¹(ℝ) and we will characterise those rational...
Weak-Type (1-1) Inequality for the Monge-Ampère SIO's.
Weak-type estimates for the modified Hankel transform
We use the Galé and Pytlik [3] representation of Riesz functions to prove the Hörmander multiplier theorem for the modified Hankel transform.
Weak-type estimates for the Riesz transforms associated with the Gaussian measure.
In this paper we will study the behavior of the Riesz transform associated with the Gaussian measure γ(x)dx = e-|x|2dx in the space Lγ1 (Rn).
Weak-type inequalities for maximal operators acting on Lorentz spaces
We prove sharp a priori estimates for the distribution function of the dyadic maximal function ℳ ϕ, when ϕ belongs to the Lorentz space , 1 < p < ∞, 1 ≤ q < ∞. The approach rests on a precise evaluation of the Bellman function corresponding to the problem. As an application, we establish refined weak-type estimates for the dyadic maximal operator: for p,q as above and r ∈ [1,p], we determine the best constant such that for any , .
Weak-type multipliers
Weierstraßscher Approximationssatz und Gleichverteilung.
Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type.
Weighted boundedness of multilinear Littlewood-Paley operators for the extreme cases of .
Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel
Some weighted sharp maximal function inequalities for the Toeplitz type operator are established, where are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), are linear operators defined on the space of locally integrable functions, k = 1,..., m, and . The weighted boundedness of on Morrey spaces is obtained by using sharp maximal function inequalities.