D. Ma

activity

20142020

most citedLaplace transforms and valuations

35 citations · 59 across the 4 of their papers we have counts for

collaborators

4 papers

math.MG2020★ 1 cited

SL( $n$ ) contravariant vector valuations

Jin Li, Dan Ma, Wei Wang

All SL( $n$ ) contravariant vector valuations on polytopes in $R^{n}$ are completely classified without any additional assumptions. The facet vector is defined. It turns out to…

math.MG2018★ 35 cited

Laplace transforms and valuations

Jin Li, Dan Ma

It is proved that the classical Laplace transform is a continuous valuation which is positively GL $(n)$ covariant and logarithmic translation covariant. Conversely, these propertie…

math.FA2015★ 18 cited

Real-valued valuations on Sobolev spaces

Dan Ma

Continuous, SL( $n$ ) and translation invariant real-valued valuations on Sobolev spaces are classified.

math.FA2014★ 5 cited

Asymmetric anisotropic fractional Sobolev norms

Dan Ma

Bourgain, Brezis & Mironescu showed that (with suitable scaling) the fractional Sobolev $s$ -seminorm of a function $f \in W^{1, p} (R^{n})$ converges to the Sobolev seminorm of…

SL(n) contravariant vector valuations

Laplace transforms and valuations

Real-valued valuations on Sobolev spaces

Asymmetric anisotropic fractional Sobolev norms

SL( $n$ ) contravariant vector valuations