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pro vyhledávání: '"46b45"'
Let $0<\alpha<1$ and $\frac{1}{q}=1-\alpha$. We first obtain that the function $\omega :\mathbb{Z} \rightarrow (0,\infty)$ belongs to weight class of $\mathcal{A} (1,q)(\mathbb{Z})$ if and only if discrete fractional maximal operator $M_{\alpha}$ or
Externí odkaz:
http://arxiv.org/abs/2412.19402
In this work we define a class of injective-type norm on tensor products through the environment of sequence classes. Examples and results on this norm will be presented and the duality is studied in this context. As a byproduct, we present the defin
Externí odkaz:
http://arxiv.org/abs/2411.06938
Autor:
Laustsen, Niels Jakob, Smith, James
We study the lattice of closed ideals of bounded operators on two families of Banach spaces: the Baernstein spaces $B_p$ for $1
Externí odkaz:
http://arxiv.org/abs/2410.12666
In this note, we look at the behavior of embedding between Besov spaces and compare its behavior with Sobolev embeddings, mainly when the embeddings are non-compact. We classify that in the case of the non-compact embedding then, depending on paramet
Externí odkaz:
http://arxiv.org/abs/2410.10731
Property~(A) is a week symmetry condition that plays a fundamental role in the characterization of greedy-type bases in the isometric case, i.e., when the constants involved in the study of the efficiency of the thresholding greedy algorithm in Banac
Externí odkaz:
http://arxiv.org/abs/2409.04883
Autor:
Albiac, Fernando, Ansorena, Jose L.
The aim of this paper is twofold. On the one hand, we manage to identify Banach-valued Hardy spaces of analytic functions over the disc $\mathbb{D}$ with other classes of Hardy spaces, thus complementing the existing literature on the subject. On the
Externí odkaz:
http://arxiv.org/abs/2409.04866
In this paper, we construct a function which confirms the proper inclusion property of Morrey spaces, by using a relation between a class of functions in Morrey spaces and discrete Morrey spaces. Our particular function is simpler than those construc
Externí odkaz:
http://arxiv.org/abs/2407.05613
Autor:
Daptari, Soumitra
In this paper, we study several variants of Hahn-Banach smoothness, viz., property-$(SU)$/$(HB)$/$(wU)$, where property-$(SU)$ and property-$(HB)$ are stronger notions and property-$(wU)$ is a weaker notion of Hahn-Banach smoothness. We characterize
Externí odkaz:
http://arxiv.org/abs/2403.03453
Autor:
Marchenko, Vitalii
The concept of $\ell_{\Phi}$-decomposition, extending the concept of $\ell_{p}$-decomposition of a Banach space, is presented and basic properties of Schauder-Orlicz decompositions and $\ell_{\Phi}$-decompositions are studied. We show that Schauder-O
Externí odkaz:
http://arxiv.org/abs/2402.09350
Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Ces\`aro operators acting in large c
Externí odkaz:
http://arxiv.org/abs/2402.09238