Annals of Functional Analysis最新文献

Let (S(mathbb {D})) and (H(mathbb {D})) denote the class of holomorphic self-maps and holomorphic functions on the open unit disk (mathbb {D}) in the complex plane (mathbb {C}), respectively. Given (varphi _kin S(mathbb {D})) and (w_kin H(mathbb {D})) for (k=1,2,ldots ,N), we investigate the disjoint (mathscr {F})-transitivity of the weighted composition operators (C_{w_1,varphi _1},ldots ,C_{w_N,varphi _N}) on (H(mathbb {D})). Moreover, we present a condition on the inducing symbols to ensure the topological multiple recurrence of a single weighted composition operator.

We establish conditions under which an inclusion of finitely aligned left-cancellative small categories induces inclusions of twisted (C^*)-algebras. We also present an example of an inclusion of finitely aligned left-cancellative monoids that does not induce a homomorphism even between (untwisted) Toeplitz algebras. We prove that the twisted (C^*)-algebras of a jointly faithful self-similar action of a countable discrete amenable groupoid on a row-finite k-graph with no sources, with respect to homotopic cocycles, have isomorphic K-theory.

Assorted weighted shifts over finite rooted directed trees are studied. Their complex symmetry is characterized.

We discuss various aspects of noncommutative geometry of smooth subalgebras of Hensel–Steinitz algebras. In particular, we study the structure of derivations and K-Theory of those smooth subalgebras.

In this paper, a characterization of the invariant subspaces for idempotents on a Hilbert space is established. The problems when two orthogonal projections have a finite dimensional common invariant subspace and when an idempotent has a finite dimensional reducing subspace are also treated.

The strong type boundedness of Choquet-type maximal function associated with the weighted local Riesz capacities is tackled. The weights are assumed to be of local Muckenhoupt class. The technique of proof uses interpolation and fundamental properties of nonlinear potential.

In this article, we introduce a class of multilinear strongly singular integral operators with generalized kernels on the RD-space. The boundedness of these operators on weighted Lebesgue spaces is established. Moreover, two types of endpoint estimates and their boundedness on generalized weighted Morrey spaces are obtained. Our results further generalize the relevant conclusions on generalized kernels in Euclidean spaces. Moreover, the weak-type results on weighted Lebesgue spaces are brand new even in the situation of Euclidean spaces. In addition, when the generalized kernels degenerate into classical kernels, our research results also extend the relevant known results. It is worth mentioning that our RD-spaces are more general than theirs.

We study the initial value problem for a defocusing semi-linear wave equation with spatially growing nonlinearity. By employing Moser–Trudinger-type inequalities and Strichartz estimates, we establish global well-posedness in the energy space for radially symmetric initial data. Furthermore, we derive the linearization of energy-bounded solutions using the methodology introduced in Gérard (J Funct Anal 141:60–98, 1996). The main challenge in our analysis arises from the spatial growth of the nonlinearity at infinity, which prevents the direct application of Sobolev embeddings or Hardy inequalities to control the potential energy. The main novelty of this work lies in overcoming this challenge within the radial framework through the combined application of the Strauss inequality and Strichartz estimates.

In this paper, we consider a class of p-Kirchhoff-type problem with critical exponent. Using Krasnoselskii’s genus theory and the concentration-compactness principle, due to Lions, we demonstrate the existence of infinitely many solutions.

In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator (T_{varphi }) to be hyponormal or normal. Additionally, we give some applications of such results.