M. Kijaczko

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20202026

most citedOn density of compactly supported smooth functions in fractional Sobolev spaces

19 citations · 54 across the 11 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023★ 2 cited

Asymptotics of weighted Gagliardo seminorms

Michał Kijaczko

In this paper we consider fractional Sobolev spaces equipped with weights being powers of the distance to the boundary of the domain. We prove the versions of Bourgain--Brezis--Mir…

math.AP2023★ 4 cited

Sharp fractional Hardy inequalities with a remainder for $1 < p < 2$

Bartłomiej Dyda, Michał Kijaczko

The main purpose of this article is to obtain (weighted) fractional Hardy inequalities with a remainder and fractional Hardy-Sobolev-Maz'ya inequalities valid for $1 < p < 2$ .

Asymptotics of weighted Gagliardo seminorms

Sharp fractional Hardy inequalities with a remainder for 1<p<2

Sharp fractional Hardy inequalities with a remainder for $1 < p < 2$