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On Betti numbers of the gluing of germs of formal complex spaces

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (1)

In this paper, we show that the gluing of germs of formal complex spaces is also a formal complex space. Moreover, we study the Betti numbers of the g......

Nonzero positive solutions of fractional Laplacian systems with functional terms

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (1)

We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our......

An interpolation problem in the Denjoy-Carleman classes

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (3)

Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regularity) of a solution of a linear partial differentia......

Irregular cusps of ball quotients

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (4)

We study the branch divisors on the boundary of the canonical toroidal compactification of ball quotients. We show a criterion, the low slope cusp for......

Generalized frame operator, lower semiframes, and sequences of translates

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (7)

Given an arbitrary sequence of elements xi={xi(n)}(n is an element of N) of a Hilbert space (H, ), the operator T-xi is defined as the operator associ......

Weight generalization of the space of continuous functions vanishing at infinity

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (8)

In this paper, we characterize the weighted generalization of the space of continuous functions vanishing at infinity and correct some wrong results i......

Variable Hardy-Lorentz martingale spaces Hp(•),q(•)$\mathcal {H}_{p(\cdot ),q(\cdot )}$

期刊: MATHEMATISCHE NACHRICHTEN, 2023; ()

Let (omega,F,P)$(\Omega ,\mathcal {F},\mathbb {P})$ be a complete probability space and let p(center dot),q(center dot):[0,1]->(0,infinity)$p(\cdot......

Upper semicontinuity of pullback D-attractors for nonlinear parabolic equation with nonstandard growth condition

期刊: MATHEMATISCHE NACHRICHTEN, 2023; ()

This paper is devoted to the well-posed problem and the existence of pullback D attractors for a class of nonlinear parabolic equation with nonstandar......

Musielak-Orlicz Hardy space estimates for commutators of Calderon-Zygmund operators

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (3)

Let delta is an element of(0,1] and T be a delta-Calderon-Zygmund operator. When p is an element of(0,1] and b is an element of BMO(Rn), it is well-kn......

Coupling methods and exponential ergodicity for two-factor affine processes

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (5)

In this paper, by invoking the coupling approach, we establish exponential ergodicity under the L-1-Wasserstein distance for two-factor affine process......

Purely coclosed G2-structures on nilmanifolds

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (6)

We classify seven-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, endowed with left-invariant purely coclosed G(2)-str......

A partial differential equation characterization of anisotropic Hardy spaces

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (6)

We obtain a differential characterization for the anisotropic Hardy space HAp$H_A<^>p$ by identifying it with a parabolic Hardy space associated......

On the interpolation constants for variable Lebesgue spaces

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (7)

For theta is an element of (0,1) and variable exponents p(0)(center dot), q(0)(center dot) and p(1)(center dot), q(1)(center dot) with values in [1, i......

Critical metrics of the volume functional on three-dimensional manifolds

期刊: MATHEMATISCHE NACHRICHTEN, 2023; 296 (7)

In this paper, we prove the three-dimensional CPE$CPE$ conjecture with nonnegative Ricci curvature. Moreover, we establish rigidity theorems for three......

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