Radial derivative on bounded symmetric domains
We establish weighted Hardy-Littlewood inequalities for radial derivative and fractional radial derivatives on bounded symmetric domains.
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Guangbin Ren, Uwe Kähler (2003)
Studia Mathematica
We establish weighted Hardy-Littlewood inequalities for radial derivative and fractional radial derivatives on bounded symmetric domains.
Loukas Grafakos, Liguang Liu, Dachun Yang (2009)
Bulletin de la Société Mathématique de France
An RD-space is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type having “dimension” , there exists a such that for certain classes of distributions, the quasi-norms of their radial maximal functions and grand maximal functions are equivalent when . This result yields a radial maximal function characterization for Hardy spaces on .
Dušan Georgijević (1991)
Publications de l'Institut Mathématique
Winfried Sickel, Leszek Skrzypczak (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
M. Gabriella Kuhn (1991)
Annales de l'institut Fourier
Let be the product of finite groups each having order and let be the probability measure which takes the value on each element of . In this paper we shall describe the point spectrum of in and the corresponding eigenspaces. In particular we shall see that the point spectrum occurs only for suitable choices of the numbers . We also compute the continuous spectrum of in in several cases. A family of irreducible representations of , parametrized on the continuous spectrum of ,...
Volker Runde (1993)
Studia Mathematica
Let A be a Banach algebra, and let D : A → A be a (possibly unbounded) derivation. We are interested in two problems concerning the range of D: 1. When does D map into the (Jacobson) radical of A? 2. If [a,Da] = 0 for some a ∈ A, is Da necessarily quasinilpotent? We prove that derivations satisfying certain polynomial identities map into the radical. As an application, we show that if [a,[a,[a,Da]]] lies in the prime radical of A for all a ∈ A, then D maps into the radical. This generalizes a result...
Taghavi, A. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Dumitru Popa (2002)
Colloquium Mathematicae
For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.
B. Maurey (1973/1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
B. Maurey (1973/1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Thomas Strohmer (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Arya Jamshidi, Fereshteh Sady (2013)
Open Mathematics
In this paper we first consider a real-linear isometry T from a certain subspace A of C(X) (endowed with supremum norm) into C(Y) where X and Y are compact Hausdorff spaces and give a result concerning the description of T whenever A is a uniform algebra on X. The result is improved for the case where T(A) is, in addition, a complex subspace of C(Y). We also give a similar description for the case where A is a function space on X and the range of T is a real subspace of C(Y) satisfying a ceratin...
Schmeisser, Hans-Jürgen (2007)
Nonlinear Analysis, Function Spaces and Applications
The aim of these lectures is to present a survey of some results on spaces of functions with dominating mixed smoothness. These results concern joint work with Winfried Sickel and Miroslav Krbec as well as the work which has been done by Jan Vybíral within his thesis. The first goal is to discuss the Fourier-analytical approach, equivalent characterizations with the help of derivatives and differences, local means, atomic and wavelet decompositions. Secondly, on this basis we study approximation...
Eberhard Malkowsky (1997)
Matematički Vesnik
H. G. Feichtinger, S. S. Pandey (2003)
Czechoslovak Mathematical Journal
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group . The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative...
Mohamed Amouch, Hamza Lakrimi (2024)
Mathematica Bohemica
Let be a Banach space, the algebra of bounded linear operators on and an admissible Banach ideal of . For , let and denote the left and right multiplication defined by and , respectively. In this paper, we study the transmission of some concepts related to recurrent operators between , and their elementary operators and . In particular, we give necessary and sufficient conditions for and to be sequentially recurrent. Furthermore, we prove that is recurrent if and only...
Curto, Raúl E., Lee, Woo Young (2001)
The New York Journal of Mathematics [electronic only]
Yong Chen, Young Joo Lee, Tao Yu (2014)
Studia Mathematica
We consider the reducibility and unitary equivalence of multiplication operators on the Dirichlet space. We first characterize reducibility of a multiplication operator induced by a finite Blaschke product and, as an application, we show that a multiplication operator induced by a Blaschke product with two zeros is reducible only in an obvious case. Also, we prove that a multiplication operator induced by a multiplier ϕ is unitarily equivalent to a weighted shift of multiplicity 2 if and only if...
Aharon Atzmon (2001)
Annales de l’institut Fourier
A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted spaces on locally compact abelian groups, for even weights and .
Hongzhao Lin, Zhongming Teng (2021)
Czechoslovak Mathematical Journal
The reducing subspaces of Toeplitz operators on Dirichlet type spaces of the are described, which extends the results for the corresponding operators on Bergman spaces of the bidisk.
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