We investigate the spectrum of the Volterra operator Vg with symbol an entire function g, when it acts on weighted Banach spaces H∞ v (C) of entire functions with sup-norms and when it acts on Hörmander algebras Ap or A0p.

We consider the problem of approximating a linear cocycle (or, more generally, a vector bundle automorphism) over a fixed base dynamics by another cocycle admitting a dominated splitting. We prove that the possibility of doing so depends only on the homotopy class of the cocycle, provided that the base dynamics is a minimal diffeomorphism and the fiber dimension is at least 3. This result is ob…

In this paper, we prove that more than 66.036% of zeros of the Riemann zeta-function are distinct.

We are interested in existence and regularity results for weak solutions of parabolic equations of the type ∂tu − div a(x, t, Du) = 0 on a parabolic space time cylinder T . The vector field a is assumed to satisfy a non-standard p, q-growth condition. We treat the subquadratic case, where 2n/n + 2 < p <2 and p ≤ q < p + 4/n + 2 holds. We show existence of weak su ∈ Lp…

We study the higher differentiability of the very weak solution of the Cauchy–Dirichlet problem associated to the linear parabolic system with Hölder continuous coefficients and L1 right-hand side of the form ∂u/∂t− div(A(x, t)Du) = μ in ×]0, T [, u =0 on∂×]0, T [, u =0 on × {0}.

Tahun Terbit

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We show that using the family of adapted Kähler polarizations of the phase space of a compact, simply connected, Riemannian symmetric space of rank 1, the field Hcorr of quantum Hilbert spaces produced by geometric quantization, including the half-form correction, is flat if M is the three-dimensional sphere and not even projectively flat otherwise.

Let Cn be the free center-by-metabelian Lie algebra of finite rank n, with n ≥ 2, over a field K of characteristic 0.We study the automorphism group Aut(Cn) of Cn by means of a topology. Let TCn be the group of tame automorphisms of Cn and GLn(K) be the general linear group. It is shown that for any finite subset X of IA-automorphisms of C2, the subgroup of Aut(C2) generated by GL2(K) a…

In this paper, the generalized BMO martingale spaces are introduced as the dual spaces of martingale Hardy–Lorentz–Karamata spaces Hs p,q,b, which completes the very recent result [Quart. J. Math. 65 (2014), 985–1009] in the case 0 < p ≤ 1, 1 < q < ∞. Moreover, by duality we obtain a new John–Nirenberg theorem when the stochastic basis is regular.

We establish new estimates to compute the λ-function of Aron and Lohman on the unit ball of a JB∗-triple. It is established that for every Brown–Pedersen quasi-invertible element a in a JB∗-triple E we have dist (a,E(E1)) = max{1 − mq (a), a − 1}, where E(E1) denotes the set of extreme points of the closed unit ball E1 of E. It is proved that λ(a) = (1 …