共查询到20条相似文献,搜索用时 15 毫秒
1.
Jorge J. Betancor 《Rendiconti del Circolo Matematico di Palermo》1999,48(1):51-64
In this paper we characterize weak type (1,1) inequalities for Hankel convolution operators by means of discrete methods.
Partially supported by DGICYT Grant PB 94-0591 (Spain). 相似文献
2.
Weak type (1, 1) bounds for rough operators,II 总被引:3,自引:0,他引:3
3.
Erlan Nursultanov Sergey Tikhonov Nazerke Tleukhanova 《Comptes Rendus Mathematique》2009,347(23-24):1385-1388
We study norm convolution inequalities in Lebesgue and Lorentz spaces. First, we improve the well-known O'Neil's inequality for the convolution operators and prove corresponding estimate from below. Second, we obtain Young–O'Neil-type estimate in the Lorentz spaces for the limit value parameters, i.e., . Finally, similar estimates in the weighted Lorentz spaces are presented. To cite this article: E. Nursultanov et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). 相似文献
4.
Sunggeum Hong 《Acta Mathematica Hungarica》2012,135(4):297-324
We prove sharp weak type (p,p) estimates on H
p
spaces for the maximal operators with a rough distance function over convex hypersurfaces. 相似文献
5.
We study the problem of determining for which integrable functionsG:R → (0, ∞) the operatorf → 1/yG(y.) *f(x), which maps functions on the real line into functions defined on the upper half-planeR
+
2
, is of weak type (1,1). Here,R
+
2
is endowed with the measurey dx dy. The conditions we will impose are related to the distribution of the mass ofG.
One of the motivations for this study comes from the problem of deciding whether there is a weak type (1,1) inequality for
the “rough” modification of the standard maximal function, obtained by inserting in the mean values a factor Ω which depends
only on the angle. Here, Ω≥0 is any integrable function on the sphere. Our estimates for the first-mentioned problem allow
us to answer in the affirmative, the second one in dimension two, when we restrict the operator to radial functions. Some
extensions to higher dimensions in the context of both problems are also discussed.
Both authors were partially supported by DGICYT PB90/187. 相似文献
6.
In this paper we consider operators of the form H=λ(-i∇), with λ analytic in a strip and with some specific growth conditions at infinity, and prove Hardy type estimates in L
2(ℝ
n
) with exponential weights. In fact we extend our previous results [19] from bounded analytic functions on a strip to analytic
functions with polynomial growth in that strip. 相似文献
7.
Ya Ryong Heo 《Mathematische Nachrichten》2007,280(3):281-289
We show that the lacunary maximal operator associated to a compact smooth hypersurface on which the Gaussian curvature nowhere vanishes to infinite order maps the standard Hardy space H 1 to L 1,∞ . (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
8.
Liu Zongguang 《分析论及其应用》1999,15(4):64-70
The fractional maximal operator on homogeneous space (X, d, μ) is de fined as
. In this paper, the sufficient and necessary conditions for the
to be of weak type and extra weak type will be given.
In Memory of Professor M. T. Cheng 相似文献
9.
Liu Zongguang 《逼近论及其应用》1999,15(4):64-70
The fractional maximal operator on homogeneous space (X, d, μ) is de fined as 相似文献
10.
For the plane curves Γ,the maximal operator associated to it is defined byMf(x)=sup|∫f(x-Γ(t))(r~(-1)t)r~(-1)dt|where is a Schwartz function.For a certain class of curves in R~2,M is shown to boundedon (H(R~2),Weak L~1(R~2).This extends the theorem of Stein & Wainger and the theo-rem of Weinberg. 相似文献
11.
We establish sharp weak-type estimates for the maximal operators Tλ* associated with cylindric Riesz means for functions on Hp(ℝ3) when 4/5 <p<1 and λ=3/p−5/2, and when p=4/5 and λ>3/p−5/2.
The first author was supported by the Korean Research Foundation Grant funded by the Korean Government (MOEHRD) No. R04-2002-000-20028-0.
The third author was supported by a Korea University Grant. 相似文献
12.
In this paper, we study two-weight norm inequalities for operators of potential type in homogeneous spaces. We improve some of the results given in [6] and [8] by significantly weakening their hypotheses and by enlarging the class of operators to which they apply. We also show that corresponding results of Carleson type for upper half-spaces can be derived as corollaries of those for homogeneous spaces. As an application, we obtain some necessary and sufficient conditions for a large class of weighted norm inequalities for maximal functions under various assumptions on the measures or spaces involved.Research of the first author was supported in part by NSERC grant A5149.Research of the second author was supported in part by NSF grant DMS93-02991. 相似文献
13.
R. A. Bandaliev 《Mathematical Notes》2006,80(1-2):3-10
In this paper, we prove a theorem on the boundedness of a convolution operator in a weighted Lebesgue space with kernel satisfying a certain version of Hörmander’s condition. 相似文献
14.
In this paper a characterization is given for a pairs of weights (w,v) for which the fractional maximal operator is bounded from
when is a space of generalized homogeneous type introduced by A. Carbery et al. [4]. 相似文献
15.
Shuichi Sato 《Arkiv f?r Matematik》1995,33(2):377-384
Weighted weak type estimates are proved for some maximal operators on the weighted Hardy spacesH
ω
p
(0 <p < 1, ω ∈A
1) (0<p<1, ω∞A1); in particular, weighted weak type endpoint estimates are obtained for the maximal operators arising from the Bochner-Riesz
means and the spherical means onH
ω
p
. 相似文献
16.
David Cruz-Uribe C. J. Neugebauer V. Olesen 《Journal of Fourier Analysis and Applications》1999,5(1):45-66
For 0 < let Tf denote one of the operators
We characterize the pairs of weights (u, v) for which T is a bounded operator from Lp(v) to Lq(u), 0 <p q < . This extends to > 0 the norm inequalities for =0 in [4, 16]. As an application we give lower bounds for convolutions f, where is a radially decreasing function. 相似文献
17.
Weighted norm inequalities for the maximal singular integral operators on spaces of homogeneous type
Weighted norm inequalities with general weights are established for the maximal singular integral operators on spaces of homogeneous type, when the kernel satisfies a Hörmander regularity condition on one variable and a Hölder regularity condition on the other variable. 相似文献
18.
姚奎 《高校应用数学学报(英文版)》2001,16(2):161-170
§ 1 PreliminariesWe considerψ( x)∈ L1 ( Rn) satisfying the mean valuezero,i.e.∫Rnψdx=0 ,and definethe square function g( f) on Rnbyg( f) ( x) =( k|ψk* f|2 ) 1 2 ( x)for f∈ S( Rn) ,the Schwartz space,whereψk( x) =ψ2 k( x) . Whenψ has some smooth property,one can obtain the weak type estimate by viewingthe square function g( f) as the vector-valued singularintegrals,which the readercan referto [1 ,2 ] .As for the results aboutthe Lp-estimates,see [3,4 ] .In this paper,we sha… 相似文献
19.
Antonios D. Melas 《Advances in Mathematics》2005,192(2):310-340
For each p>1 we precisely evaluate the main Bellman functions associated with the dyadic maximal operator on and the dyadic Carleson imbedding theorem. Actually, we do that in the more general setting of tree-like maximal operators. These provide refinements of the sharp Lp inequalities for those operators. For this we introduce an effective linearization for such maximal operators on an adequate set of functions. 相似文献
20.