The boundary states for AdS 2 D-branes in Lorentzian AdS 3 space-time are presented. AdS 2 D-branes are algebraically defined by twisted Dirichlet boundary conditions and are located on twisted conjugacy classes of SL(2,R). Using free field representation of symmetry currents in the SL(2,R) WZNW model, the twisted Dirichlet gluing conditions among currents are translated to matching conditions ...

We provide sufficient normal curvature conditions on the boundary of a domain D ⊂ R to guarantee unboundedness of the bilinear Fourier multiplier operator TD with symbol χD outside the local L 2 setting, i.e. from L1 (R) × L2 (R) → L ′ 3 (R) with P 1 pj = 1 and pj < 2 for some j. In particular, these curvature conditions are satisfied by any domain D that is locally strictly convex at a single ...

We continue the work of [14]. Let E be a non-Blaschke subset of the unit disc D of the complex plane C. Fixed 1 ≤ p ≤ ∞, let Hp(D) be the Hardy space of holomorphic functions in the disk whose boundary value function is in Lp(∂D). Fixed 0 < R < 1. For ǫ > 0 define Cp(ε,R) = sup{ sup |z|≤R |g(z)| : g ∈ H, ‖g‖p ≤ 1, |g(ζ)| ≤ ε ∀ζ ∈ E}. In this paper we find upper and lower bounds for Cp(ǫ, R) whe...

Let $$M^n=[0,R]\times \mathbb {S}^{n-1}$$ be an n-dimensional ( $$n\ge 2$$ ) smooth Riemannian manifold equipped with the warped product metric $$g=dr^2+h^2(r)g_{\mathbb {S}^{n-1}}$$ and diffeomorphic to a Euclidean ball. Assume that M has strictly convex boundary. First, for classical Steklov eigenvalue problem, we obtain optimal lower (upper, respectively) bound its spectrum in terms of $$h'(...

Given a set of n points (sites) inside a rectangle R and n points (label locations or ports) on its boundary, a boundary labeling problem seeks ways of connecting every site to a distinct port while achieving different labeling aesthetics. We examine the scenario when the connecting lines (leaders) are drawn as axis-aligned polylines with few bends, every leader lies strictly inside R, no two l...

This paper presents numerical solutions and idealized analytical solutions of axisymmetric, f -plane models of the tropical cyclone boundary layer. In the numerical model, the boundary layer radial and tangential flow is forced by a specified pressure field, which can also be interpreted as a specified gradient balanced tangential wind field vgr(r) or vorticity field ζgr(r). When the specified ...