Tuomas Orponen

activity

20102026

most citedOn restricted families of projections in R^3

52 citations · 367 across the 81 of their papers we have counts for

collaborators

Showing 2013 · math.CAShow all

4 papers · 2 filters

math.CA2013★ 4 cited

On the tube-occupancy of sets in $R^{d}$

Tuomas Orponen

Call a pair $(s, t) \in [0, d] \times [0, d]$ admissible, if there exists a compact set $K \subset R^{d}$ and a constant $C > 0$ such that $0 < H^{s} (K) < \infty$ ,…

math.CA2013

Square functions with general measures II

Henri Martikainen, Mihalis Mourgoglou, Tuomas Orponen

We continue developing the theory of conical and vertical square functions on $R^{n}$ , where $μ$ is a power bounded measure, possibly non-doubling. We provide new boundedness crite…

math.CA2013★ 3 cited

Hausdorff dimension estimates for restricted families of projections in $R^{3}$

Tuomas Orponen

This paper is concerned with restricted families of projections in $R^{3}$ . Let $K \subset R^{3}$ be a Borel set with Hausdorff dimension $dim K = s > 1$ . If $\m…

math.CA2013★ 52 cited

On restricted families of projections in R^3

Katrin Fässler, Tuomas Orponen

We study projections onto non-degenerate one-dimensional families of lines and planes in $R^{3}$ . Using the classical potential theoretic approach of R. Kaufman, one can s…

On the tube-occupancy of sets in Rd

Square functions with general measures II

Hausdorff dimension estimates for restricted families of projections in R3

On restricted families of projections in R^3

On the tube-occupancy of sets in $R^{d}$

Hausdorff dimension estimates for restricted families of projections in $R^{3}$