共查询到20条相似文献,搜索用时 31 毫秒
1.
Zhijian Wu 《Integral Equations and Operator Theory》1996,24(3):352-371
We study the commutator of the multiplication and harmonic Bergman projection, Hankel and Toeplitz operators on the harmonic Bergman spaces. The same type operators have been well studied on the analytic Bergman spaces. The main difficulty of this study is that the bounded harmonic function space is not an algebra! In this paper, we characterize theL
p boundedness and compactness of these operators with harmonic symbols. Results about operators in Schatten classes, the cut-off phenomenon and general symbols are also included.Partially supported by a grant from the Research Grants Committee of the University of Alabama. 相似文献
2.
Sobolev‐Jawerth embedding of Triebel‐Lizorkin‐Morrey‐Lorentz spaces and fractional integral operator on Hardy type spaces 下载免费PDF全文
Kwok‐Pun Ho 《Mathematische Nachrichten》2014,287(14-15):1674-1686
A Sobolev type embedding for Triebel‐Lizorkin‐Morrey‐Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy‐Morrey spaces and Hardy‐Lorentz spaces are obtained. 相似文献
3.
Svante Janson 《Integral Equations and Operator Theory》1994,20(2):238-242
The quotient space of a Hardy space on a half-plane Imz> modulo the subspace of elements containing a factore
iz
is in some sense independent of . A formula is derived which exhibits a correspondence between any two such quotient spaces.Supported by the Göran Gustafsson Foundation for Research in Natural Sciences and Medicine. 相似文献
4.
《Quaestiones Mathematicae》2013,36(1):69-82
Abstract In this paper, the boundedness and compactness of the generalized composition operators and the products of Volterra type operators a nd composition operators between QK spaces are investigated. We also give a necessary condition for multiplication operators between QK spaces to be bounded or compact. 相似文献
5.
《复变函数与椭圆型方程》2012,57(5):333-344
This article provides information on p-logarithmic s-Carleson measure characterization of the weighted BMOA spaces. Also, the boundedness and compactness of composition operators from Bloch-type space and weighted Bloch space to weighted BMOA space are discussed. 相似文献
6.
James E. Jamison 《Integral Equations and Operator Theory》2006,56(4):469-482
A pair of operators on a Banach space X are isometrically equivalent if they are intertwined by a surjective isometry of X. We investigate the isometric equivalence problem for pairs of operators on specific types of Banach spaces. We study weighted
shifts on symmetric sequence spaces, elementary operators acting on an ideal I of Hilbert space operators, and composition operators on the Bloch space. This last case requires an extension of known results
about surjective isometries of the Bloch space. 相似文献
7.
This note aims at investigating the essential norms of integral operators on Banach spaces of analytic functions. We study the essential norm of Ig on some classical Banach spaces (the Bloch space, BMOA and the Dirichlet space). The essential norms of the Volterra type operator Tg on the Bloch space are given by the distance from the logarithmic Bloch function to the little logarithmic Bloch space. The essential norms of the little Hankel operator are also investigated. 相似文献
8.
and spaces consist of all those locally integrable functions
on the open unit ball such that their mean oscillations on any Bergman
ball are, respectively, bounded and vanishing to zero as the Bergman ball
approaches the boundary of the unit ball. The harmonic (or analytic) versions
of the and spaces are the Bloch space and the little Bloch
space, respectively. The study of these spaces plays an important role in modern
analysis, especially in the the area of operator theory and holomorphic
spaces. In this paper, we characterize systematically the multipliers of and spaces.
Submitted: January 9, 2001?Revised: October 16, 2002 相似文献
9.
Fully symmetric operator spaces 总被引:4,自引:0,他引:4
Peter G. Dodds Theresa K. Dodds Ben de Pagter 《Integral Equations and Operator Theory》1992,15(6):942-972
It is shown that certain interpolation theorems for non-commutative symmetric operator spaces can be deduced from their commutative versions. A principal tool is a refinement of the notion of Schmidt decomposition of a measurable operator affiliated with a given semi-finite von Neumann algebra.Research supported by A.R.C. 相似文献
10.
We characterize boundedness, compactness and weak compactness of Volterra operators acting between different weighted Banach spaces of entire functions with sup‐norms in terms of the symbol g; thus we complement recent work by Bassallote, Contreras, Hernández‐Mancera, Martín and Paul 3 for spaces of holomorphic functions on the disc and by Constantin and Peláez 16 for reflexive weighted Fock spaces. 相似文献
11.
We use methods from time-frequency analysis to study boundedness and traceclass properties of pseudodifferential operators. As natural symbol classes, we use the modulation spaces onR
2d
, which quantify the notion of the time-frequency content of a function or distribution. We show that if a symbol lies in the modulation spaceM
,1 (R
2d
), then the corresponding pseudodifferential operator is bounded onL
2(R
d
) and, more generally, on the modulation spacesM
p,p
(R
d
) for 1p. If lies in the modulation spaceM
2,2
s
(R
2d
)=L
s
/2
(R
2d
)H
s
(R
2d
), i.e., the intersection of a weightedL
2-space and a Sobolev space, then the corresponding operator lies in a specified Schatten class. These results hold for both the Weyl and the Kohn-Nirenberg correspondences. Using recent embedding theorems of Lipschitz and Fourier spaces into modulation spaces, we show that these results improve on the classical Calderòn-Vaillancourt boundedness theorem and on Daubechies' trace-class results. 相似文献
12.
《Mathematische Nachrichten》2017,290(17-18):2788-2799
A well‐known result of J. Lindenstrauss and A. Pełczyński (1968) gives the existence of a universal non‐weakly compact operator between Banach spaces. We show the existence of universal non‐Rosenthal, non‐limited, and non‐Grothendieck operators. We also prove that there does not exist a universal non‐Dunford–Pettis operator, but there is a universal class of non‐Dunford–Pettis operators. Moreover, we show that, for several classes of polynomials between Banach spaces, including the non‐weakly compact polynomials, there does not exist a universal polynomial. 相似文献
13.
Albrecht Pietsch 《Mathematische Nachrichten》2012,285(16):1999-2028
We present a simple approach to the theory of traces on the Marcinkiewicz operator ideal Particular attention is paid to the Dixmier traces, which may be obtained from both dilation‐invariant functionals and shift‐invariant functionals on $\mathfrak l_\infty$. Since the concept of positivity does not make sense for traces defined on operator ideals over Banach spaces, traces are not assumed to be positive in the Hilbert space setting, as well. This standpoint raises some new problems. The present studies will be continued in 35 , 36 . 相似文献
14.
《Mathematische Nachrichten》2017,290(14-15):2259-2279
In this paper we continue the study of important Banach spaces of slice hyperholomorphic functions on the quaternionic unit ball by investigating the BMO‐ and VMO‐spaces of slice hyperholomorphic functions. We discuss in particular conformal invariance and a refined characterization of these spaces in terms of Carleson measures. Finally we show the relations with the Bloch and Dirichlet space and the duality relation with the Hardy space . The importance of these spaces in the classical theory is well known. It is therefore worthwhile to study their slice hyperholomorphic counterparts, in particular because slice hyperholomorphic functions were found to have several applications in operator theory and Schur analysis. 相似文献
15.
16.
Associated with a boundedg-holed (g0) planar domainD are two types of reproducing kernel Hilbert spaces of meromorphic functions onD. We give explicit formulas for the reproducing kernel functions of these spaces. The formulas are in terms of theta functions defined on the Jacobian variety of the Schottky double of the regionD. As applications we settle a conjecture of Abrahamse concerning Nevalinna-Pick interpolation on an annulus and obtain explicit formulas for the curvature (in the sense of Cowen and Douglas) of rank 1 bundle shift operators. 相似文献
17.
We prove that Stein's extension operator preserves Sobolev–Morrey spaces, that is spaces of functions with weak derivatives in Morrey spaces. The analysis concerns classical and generalized Morrey spaces on bounded and unbounded domains with Lipschitz boundaries in the n‐dimensional Euclidean space. 相似文献
18.
The purpose of this paper is to establish DeMarr’s well-known theorem for an arbitrary family of symmetric Banach operator pairs in hyperconvex metric spaces without the compactness assumption. We also give necessary and sufficient criteria for the existence of a common fixed point of a semigroup of isometric mappings. As an application, several results on the invariant best approximation are proved. 相似文献
19.
《Mathematische Nachrichten》2017,290(1):37-49
We prove that Burenkov's extension operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n‐dimensional Euclidean space. 相似文献
20.
Hun Hee Lee 《Mathematische Nachrichten》2013,286(14-15):1491-1509
We construct nontrivial examples of weak‐ operator spaces with the local operator space structure very close to . These examples are non‐homogeneous Hilbertian operator spaces, and their constructions are similar to that of 2‐convexified Tsirelson's space by W. B. Johnson. 相似文献