1 citations · 1 across the 2 of their papers we have counts for
5 papers
Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
Anna Kairema, Ji Li, M. Cristina Pereyra +1
We give an explicit construction of Haar functions associated to a system of dyadic cubes in a geometrically doubling quasi-metric space equipped with a positive Borel measure, and…
What is a cube?
Tuomas Hytönen, Anna Kairema
We give an intrinsic characterization of all subsets of a doubling metric space that can arise as a member of some system of dyadic cubes on the underlying space, as constructed by…
Sharp weighted bounds for fractional integral operators in a space of homogeneous type
Anna Kairema
We consider a version of M. Riesz fractional integral operator on a space of homogeneous type and show an analogue of the well-known Hardy--Littlewood--Sobolev theorem in this cont…
Two-weight norm inequalities for potential type and maximal operators in a metric space
Anna Kairema
We characterize two-weight norm inequalities for potential type integral operators in terms of Sawyer-type testing conditions. Our result is stated in a space of homogeneous type w…
Systems of dyadic cubes in a doubling metric space
Tuomas Hytönen, Anna Kairema
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such c…