Intrinsic square functions with arbitrary aperture

Abstract

We consider intrinsic square functions defined using (log-)Dini continuous test functions on spaces of homogeneous type. We prove weighted estimates with optimal (at least in the Euclidean case) dependence on the aperture of the cone used to define the square function and linear dependence on the (log-)Dini modulus of continuity.

v3: now on spaces of homogeneous type, 12 pages

References in corpus (2)

• Sharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type
• Sparse domination of sharp variational truncations

Cited by in corpus (2)

• Sparse domination of sharp variational truncations
• Variational truncations of singular integrals on spaces of homogeneous type