Focuses on the relationship between definable forcing and descriptive set theory; the forcing serves as a tool for proving independence of inequalities between cardinal invariants of the continuum.
Focuses on the relationship between definable forcing and descriptive set theory; the forcing serves as a tool for proving independence of inequalitie...
Focuses on $L^p$ estimates for objects associated to elliptic operators in divergence form its semi group, the gradient of the semi group, functional calculus, square functions and Riesz transforms. This book introduces four numbers associated to the semi
Focuses on $L^p$ estimates for objects associated to elliptic operators in divergence form its semi group, the gradient of the semi group, functional...
Shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.
Shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free product...
Intends to prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers, in particular if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one.
Intends to prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers, in particular if a level set is included in a flat cy...
One of the aims of this work is to investigate some natural properties of Borel sets which are undecidable in $ZFC$. The authors' starting point is the following elementary, though non-trivial result: Consider $X subset 2omega imes2omega$, set $Y=pi(X)$, where $pi$ denotes the canonical projection of $2omega imes2omega$ onto the first factor, and suppose that $(star)$: Any compact subset of $Y$ is the projection of some compact subset of $X$. If moreover $X$ is $mathbf{Pi 0 2$ then $(starstar)$: The restriction of $pi$ to some relatively closed subset of $X$ is perfect onto $Y$ it follows...
One of the aims of this work is to investigate some natural properties of Borel sets which are undecidable in $ZFC$. The authors' starting point is th...
Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if the cover has five or more branch points then the genus grows rapidly with $n$ unless either $d =
Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show ...
Brings together two unrelated theories dealing with weighted inequalities for the Hardy-Littlewood maximal operator $M$. This work considers the boundedness of $M$ in the weighted Lorentz space $Lambda^p_u(w)$. It gives a unified version of these two theor
Brings together two unrelated theories dealing with weighted inequalities for the Hardy-Littlewood maximal operator $M$. This work considers the bound...
