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A sufficient condition for random zero sets of Fock spaces

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (3)

Let (r(n))(n=1)(infinity) be a non-decreasing sequence of radii in (0,infinity), and let (theta(n))(n=1)(infinity) be a sequence of independent random......

On the intersections of localized Jarnik sets and localized uniformly Jarnik sets in continued fractions

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (4)

For x is an element of [0, 1), let [a(1)(x), a(2)(x), ...] be its continued fraction expansion and {p(n)(x)/q(n)(x), n >= 1} be the sequence of rat......

L-f(2)-harmonic 1-forms on smooth metric measure spaces with positive lambda(1)(Delta(f))

期刊: ARCHIV DER MATHEMATIK, 2021; 116 (6)

In this paper, we study vanishing and splitting results on a complete smooth metric measure space (M-n, g, e(-f) dv) with various negative m-Bakry-Eme......

Spectrality of a class of self-affine measures and related digit sets

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (3)

This work investigates the spectrality of a self-affine measure mu(M,D) and the related digit set D in the case when vertical bar det(M)vertical bar =......

Quantitative weakly compact sets and Banach-Saks sets in l(1)

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (3)

In this paper, we show a quantitative version of the theorem stating that relatively weakly compact sets in l(1) coincide with those having the Banach......

Nonexistence of solutions to singular Q-curvature equations

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (4)

In this short note, we study the prescribed Q-curvature equation with a singularity at the origin in R-4, namely, Delta(2)u = (1 - vertical bar x vert......

Continuous functionals for unbounded convergence in Banach lattices

期刊: ARCHIV DER MATHEMATIK, 2021; 117 (3)

Recently, the different types of unbounded convergences (uo,un,uaw,uaw*) in Banach lattices were studied. In this paper, we study the continuous funct......

A gradient maximum principle of solutions for a quasilinear parabolic equation

期刊: ARCHIV DER MATHEMATIK, ; ()

This short note is concerned with a quasilinear diffusion equation under initial and Neumann boundary value condition. To be more precise, the authors......

Regular orbits of self-dual modules

期刊: ARCHIV DER MATHEMATIK, ; ()

We obtain a result regarding the existence of regular orbits for self-dual modules, thus generalizing a theorem of A. Espuelas for symplectic modules.

Erdos-Burgess constant in commutative rings

期刊: ARCHIV DER MATHEMATIK, 2021; 116 (2)

Let S be a nonempty semigroup endowed with a binary associative operation *. An element e of S is said to be idempotent if e* e = e. Originated by one......

A Bongartz-type lemma for silting complexes over a hereditary algebra

期刊: ARCHIV DER MATHEMATIK, 2020; 114 (4)

Let A be a finite dimensional algebra, the Bongartz lemma for classic tilting modules says that any partial tilting module is a direct summand of a ti......

The permutability of p-sylowizers of some p-subgroups in finite groups

期刊: ARCHIV DER MATHEMATIK, 2020; 114 (4)

A subgroup S of a group G is called a p-sylowizer of a p-subgroup R in G if S is maximal in G with respect to having R as its Sylow p-subgroup. The ma......

Liouville theorem for poly-harmonic functions on R-+(n)

期刊: ARCHIV DER MATHEMATIK, 2020; 115 (3)

In this paper, we will prove a Liouville theorem for poly-harmonic functions on R-+(n) with Navier boundary conditions, that is, the nonnegative poly-......

A new observation for the normalized solution of the Schrodinger equation

期刊: ARCHIV DER MATHEMATIK, 2020; 115 (3)

We consider the following nonlinear Schrodinger equation in R-N(N >= 2): {Delta u+lambda u=g(u), u is an element of H-1(R-N), integral(RN) u(2) = c......

An extremal problem of Grotzsch type and an application

期刊: ARCHIV DER MATHEMATIK, 2020; 115 (2)

This note deals with the existence and uniqueness of a minimiser of the following Grotzsch type problem inff is an element of F & x222c;Q1 psi(K(z......

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