Remark on the symmetrical derivates of additive functions of intervals
On Jordan curves possessing a tangent everywhere
On the differentiation of additive functions of rectangles
On the derivation of additive functions of intervals in m-dimensional space
A sufficient condition for a function of intervals to be monotone
Translation averages of dyadic weights are not always good weights.
The process of translation averaging is known to improve dyadic BMO to the space BMO of functions of bounded mean oscillation, in the sense that the translation average of a family of dyadic BMO functions is necessarily a BMO function. The present work investigates the effect of translation averaging in other dyadic settings. We show that translation averages of dyadic doubling measures need not be doubling measures, translation averages of dyadic Muckenhoupt weights need not be Muckenhoupt weights,...
The Perron-Stieltjes Integral
A theorem of fixed-point type for non-compact locally connected spaces
A generalisation of almost-compactness, with an associated generalisation of completeness
Quasisymmetrically thick sets.
Realizing step functions as harmonic measure distributions of planar domains.
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