10 problems

Let $B(\tau)$ and $B_b(\tau)$ denote the universal integral means spectra of univalent and bounded univalent functions, respectively. Brennan conjecture. The equality … should hold…

Let $\mathrm B_{\mathcal K}(t)$ denote the Kraetzer version of the integral means spectrum, and let $t$ be a real parameter. Kraetzer's conjecture. … The conjecture encompasses the…

Let $B_b(\tau)$ be the universal integral means spectrum for bounded univalent functions. Binder's conjecture. For every complex exponent $\tau$, … This is the proposed complex-exp…

Let $\beta(p,q)$ denote the generalized integral means spectrum, and let $\beta_{tip}$, $\beta_{0}$, $\beta_{lin}$, and $\beta_1$ be the four spectrum phases. Let…

Let a whole-plane LLE be driven by a Lévy process without drift. For each $N$, let $B_N$ be the $N$-dimensional matrix obtained from the three-diagonal matrix $B$ in the unbounded…

Let a whole-plane LLE be driven by a Lévy process without drift, and suppose there is an integer $N$ such that … in the unbounded version of LLE, or … in the bounded version. Let…

Let $f\colon\mathbb{D}\to\Omega$ be a bounded conformal map from the unit disk, and define the universal integral means spectrum by … where $\beta_f(t)$ is the integral means spect…

Let $B(k,t)$ denote the quasiconformal integral means spectrum, with $0<k<1$ and complex parameter $t$. Prause–Smirnov conjecture. … The conjecture gives an explicit piecewise form…

For a bounded univalent function $f$ in the unit disk, define … and … where the supremum is over all bounded univalent functions in $\mathbb{D}$. Carleson–Jones conjecture. … The c…

Let $F_{K\text{-qs}}(\alpha)$ and $B_{K\text{-qs}}(t)$ denote the universal integral means spectra for $K$-quasisymmetric maps, with the bounds and parameter ranges stated in Theor…