## interests

My interests include:

- regularity properties of minimizers (etc.) with non-standard growth (ie. generalized Orlicz / Musielak-Orlicz spaces, variable exponent Lebesgue spaces)
- the theory and applications of variable exponent analysis
- image processing
- more generally: calculus of variations, geometric analysis, potential theory and nonlinear partial differential equations

Currently I'm working on:

- boundedness and other properties of the spherical maximal operator, with P. Górka (Warsaw Polytechnic)
- boundary Harnack inequalities and eigenvalue problems in generalized settings (Orlicz, variable Lebesgue, generalized Orlicz), with T. Adamowicz (Institute of Math., Polish Acad. of Sciences) and N. Lundström (Umeå)

My future plans include:

- More on generalized Orlicz spaces
- More on image processing, in either variable exponent or generalized Orlicz settings; possibly on the existence/regularity of minimizers

Contact: for now, use olli at ollitoivanen dot info. I'm not sure on the longevity of otoivanen at impan dot pl.