Weighted Weak-type Inequalities for the Maximal Function of Nonnegative Integral Transforms over Approach Regions

Abstract

The relation between approach regions and singularities of nonnegative kernels Kt(x, y) is studied, where t ∈ (0,∞), x, y ∈ X, and X is a homogeneous space. For 1 ≤ p < q < ∞, a sufficient condition on approach regions Ωa (a ∈ X) is given so that the maximal function sup (x,t)∈Ωa ∫ X Kt(x, y)f(y) dσ(y) is weak-type (p, q) with respect to a pair of measures… (More)

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Cite this paper

@inproceedings{Zhao1997WeightedWI, title={Weighted Weak-type Inequalities for the Maximal Function of Nonnegative Integral Transforms over Approach Regions}, author={Shiying Zhao}, year={1997} }