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Muckenhoupt -properties of distance functions and applications to Hardy-Sobolev -type inequalities
Bartłomiej Dyda, Lizaveta Ihnatsyeva, Juha Lehrbäck +2
Let be a metric space equipped with a doubling measure. We consider weights , where is a closed set in and . We estab…
Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension
Lizaveta Ihnatsyeva, Antti V. Vähäkangas
We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces on a domain , whose boundary has the Aikawa dimension strictly less…
Hardy inequalities in Triebel-Lizorkin spaces
Lizaveta Ihnatsyeva, Antti V. Vähäkangas
We prove an inequality of Hardy type for functions in Triebel-Lizorkin spaces. The distance involved is being measured to a given Ahlfors d-regular set in R^n, with n-1<d<n. As an…
On Whitney-type characterization of approximate differentiability on metric measure spaces
Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte +1
We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approxi…