共查询到20条相似文献,搜索用时 15 毫秒
1.
I. Ya. Novikov 《Mathematical Notes》1992,52(3):943-947
In the present article it is proved that if the Haar and Franklin systems are equivalent in a separable symmetric space E, the following condition holds: 0<EE<1, (1) where E and E are the Boyd indices of the space E. It is already known that if condition (1) is fulfilled, it follows that the Haar and Franklin systems are equivalent in the space E. Thereby, this estabishes that condition (1) is necessary and sufficient for the equivalence of the Haar and Franklin systems in E.In proving the assertion a number of interesting constructions involving Haar and Franklin polynomials are presented and upper and lower bounds on the Franklin functions applied.Translated from Matematicheskie Zametki, Vol. 52, No. 3, pp. 96–101, September, 1992. 相似文献
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V. V. Volchkov 《Ukrainian Mathematical Journal》1998,50(4):662-665
We investigate the accuracy of certain sufficient conditions for multiplicators established by Trigub.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 585–587, April, 1998. 相似文献
4.
F. Schipp 《Analysis Mathematica》1990,16(2):135-141
H={h
1,I } — , . : , I ¦(I)¦=¦I¦, ¦I¦ — I. H H
={h
(I),I} . , , . L
p
.
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
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We establish a general identity between the Mahler measures \(\mathrm {m}(Q_k(x,y))\) and \(\mathrm {m}(P_k(x,y))\) of two polynomial families, where \(Q_k(x,y)=0\) and \(P_k(x,y)=0\) are generically hyperelliptic and elliptic curves, respectively. 相似文献
7.
Akihiko Miyachi 《Advances in Mathematics》2004,184(1):177-206
A transplantation theorem for Jacobi series in weighted Hardy spaces is proved. 相似文献
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Akihiko Miyachi 《Mathematische Annalen》2006,336(1):111-153
Muckenhoupt's transplantation theorem for Jacobi series in weighted L
p
spaces is extended to weighted Hardy spaces. 相似文献
10.
Liguang Liu 《Frontiers of Mathematics in China》2007,2(4):599-611
Let ℐ(ℝn) be the Schwartz class on ℝn and ℐ∞(ℝn) be the collection of functions ϕ ∊ ℐ(ℝn) with additional property that
for all multiindices γ. Let (ℐ(ℝn))′ and (ℐ∞(ℝn))′ be their dual spaces, respectively. In this paper, it is proved that atomic Hardy spaces defined via (ℐ(ℝn))′ and (ℐ∞(ℝn))′ coincide with each other in some sense. As an application, we show that under the condition that the Littlewood-Paley
function of f belongs to L
p(ℝn) for some p ∊ (0,1], the condition f ∊ (ℐ∞(ℝn))′ is equivalent to that f ∊ (ℐ(ℝn))′ and f vanishes weakly at infinity. We further discuss some new classes of distributions defined via ℐ(ℝn) and ℐ∞(ℝn), also including their corresponding Hardy spaces.
相似文献
11.
Leonardo Colzani 《Annali di Matematica Pura ed Applicata》1984,137(1):207-215
Summary We prove direct and converse theorems of approximation for distributions in the Hardy spaces Hp, 0
相似文献
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Hardy spaces with generalized parameter are introduced following the maximal characterization approach. As particular cases, they include the classical Hp spaces and the Hardy-Lorentz spaces H^p,q. Real interpolation results with function parameter are obtained, Based on them, the behavior of some classical operators is studied in this generalized setting. 相似文献
13.
F. Weisz 《Analysis Mathematica》1994,20(1):65-80
. , BMO VMO.
This paper is a part of the author's Ph.D. thesis written under the supervision of Prof. F. Schipp, Eötvös L. University, Budapest. 相似文献
This paper is a part of the author's Ph.D. thesis written under the supervision of Prof. F. Schipp, Eötvös L. University, Budapest. 相似文献
14.
Akihiko Miyachi 《Journal of Functional Analysis》2006,239(2):446-496
We prove that certain maximal functions defined through the Poisson integrals associated with ultraspherical series characterize some weighted Hardy spaces on the finite interval. 相似文献
15.
Let be a space of homogeneous type, and be the generator of a semigroup with Gaussian kernel bounds on . We define the Hardy spaces of for a range of , by means of area integral function associated with the Poisson semigroup of , which is proved to coincide with the usual atomic Hardy spaces on spaces of homogeneous type.
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E. M. Semënov 《Siberian Mathematical Journal》1993,34(6):1142-1148
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A. Bonilla F. Pérez-González A. Stray R. Trujillo-González 《Journal d'Analyse Mathématique》1997,73(1):65-89
This paper is concerned with several approximation problems in the weighted Hardy spacesH
p(Ω) of analytic functions in the open unit disc D of the complex plane ℂ. We prove that ifX is a relatively closed subset of D, the class of uniform limits onX of functions inH
p(Ω) coincides, moduloH
p(Ω), with the space of uniformly continuous functions on a certain hull ofX which are holomorphic on its interior. We also solve the simultaneous approximation problems of describing Farrell and Mergelyan
sets forH
p(Ω), giving geometric characterizations for them. By replacing approximating polynomials by polynomial multipliers of outer
functions, our results lead to characterizations of the same sets with respect to cyclic vectors in the classical Hardy spacesH
p(D), 1 ⪯p < ∞.
Dedicated to Professor Nácere Hayek on the occasion of his 75th birthday. 相似文献
19.
A. Zabulionis 《Lithuanian Mathematical Journal》1982,22(3):284-287
20.
Andrea Cianchi 《Transactions of the American Mathematical Society》1999,351(6):2459-2478
We establish a sharp extension, in the framework of Orlicz spaces, of the (-dimensional) Hardy inequality, involving functions defined on a domain , their gradients and the distance function from the boundary of .