The Public and Its Problem: Dewey, Habermas, and Levinas

The question of who defines the public in public education in a democratic society is a tricky one. It is tricky because the answer appears deceivingly obvious, but it is also deeply difficult. In a democratic society, the decisions about public education seem, by default, to be made by all people: concerned citizens, parents, or those who live within the borders of the district/state/nation, and who, presumably, share certain common values, interests, or purposes related to the future of the children and the place

Integral restriction for bilinear operators

We consider the integral domain restriction operator TΩ for certain bilinear operator T. We obtain that if (s, p1, p2) satisfies 1 p1+ 1 p2 ≥ 2 min{1,s} and kTkLp1 ×Lp2→Ls 1 min{1,s}

Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces

We study the boundedness on the Wiener amalgam spaces $W^{p,q}_s$ of Fourier multipliers with symbols of the type $e^{i\mu(\xi)}$, for some real-valued functions $\mu(\xi)$ whose prototype is $|\xi|^{\beta}$ with $\beta\in (0,2]$. Under some suitable assumptions on $\mu$, we give the characterization of $W^{p,q}_s\rightarrow W^{p,q}$ boundedness of $e^{i\mu(D)}$, for arbitrary pairs of $0< p,q\leq \infty$. Our results are an essential improvement of the previous known results, for both sides of sufficiency and necessity, even for the special case $\mu(\xi)=|\xi|^{\beta}$ with $1<\beta<2$