Panu Lahti

activity

20172026

most citedTraces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces

7 citations · 11 across the 22 of their papers we have counts for

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3 papers · 1 filter

math.CA2025

The centered maximal operator removes the non-concave Cantor part from the gradient

Panu Lahti, Julian Weigt

We study regularity of the centered Hardy--Littlewood maximal function $M f$ of a function $f$ of bounded variation in $R^{d}$ , $d \in N$ . In particular, we show that…

math.CA2024

Quasiconformal mappings and the rank of $\frac{d D f}{d ∣ D f ∣}$ for $f \in B V (R^{n}; R^{n})$

Panu Lahti

We define a relaxed version $H_{f}^{fine}$ of the distortion number $H_{f}$ that is used to define quasiconformal mappings. Then we show that for a BV function $f\in BV(\mathb…

math.CA2020

On the regularity of the maximal function of a BV function

Panu Lahti

We show that the non-centered maximal function of a BV function is quasicontinuous. We also show that \emph{if} the non-centered maximal functions of an SBV function is a BV functi…

The centered maximal operator removes the non-concave Cantor part from the gradient

Quasiconformal mappings and the rank of d∣Df∣dDf​ for f∈BV(Rn;Rn)

On the regularity of the maximal function of a BV function

Quasiconformal mappings and the rank of $\frac{d D f}{d ∣ D f ∣}$ for $f \in B V (R^{n}; R^{n})$