共查询到20条相似文献,搜索用时 78 毫秒
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本文求出了Sobolev空间Lk∞,BMOk与Lkp,Hkp(0 < p < ∞)之间的实内插空间. 相似文献
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现代雷达技术中常用啁啾信号取代脉冲信号 ,前者可看成Lp空间中的信号 .在Lp 的框架下构造了Wigner函数和不确定函数 ,并利用相干对偶元 ,部分推广了测不准原理 相似文献
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本文研究一类形如(1)的Fourier积分算子的保持Lp,Hps及Bpqs的有界性问题。此中位相函数满足条件(2),而振幅属于象征类S1,δ-m,0≤δ≤1,文中还初步探讨了(0≤p<1)时的Lp有界性。 相似文献
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证明了Bergman型算子Ts 是将多调和Bergman空间Lp(B)∩h(B)映到Bergman空间Lp(B)∩H(B)上的有界投影算子 ,其中 0
(p-1-1)(n+1)作为应用 ,证明了Bergman空间Lp(B)∩H(B) ( 0
相似文献
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该文给出了一类带变量核的抛物型Littlewood-Paley 算子gΦ 在 广义 Morrey 空间Lp,ω(Rn)上的有界性. 作为上述结果的应用, 得到了gΦ 与 BMO 函数 b(x)生成的交换子[b, gΦ]在Lp,ω( Rn)上的有界性. 相似文献
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Let f∈L2π and let(?) be its Fourier series. For any γ>0 , the continuity modulus of fractional order γ of f∈L2πp(p≥1) is defined by. 相似文献
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作者研究了相对宽度Kn(W2α(T), MW2β(T), L2(T)), T=[0,2π], 确定了使等式Kn(W2α(T), MW2β(T), L2(T))=dn(W2α(T), L2(T))成立的最小M值, 得到了相对宽度Kn(W2α(T), W2α(T), Lq(T))的渐近阶, 其中α≥β>0, 1≤q≤∞, Kn(., ., Lq(T)) 和 dn(., Lq(T))分别表示Kolmogorov意义下Lq(T)尺度下的相对宽度和宽度, MWpα(T), 1≤ p≤∞, 表示有如下卷积表达式的2π 周期函数类, f(t)=c+(Bα* g)(t),c∈ R, Bα*g 表示 Bα 和g 的卷积, g∈Lp(T) 满足∫02πg(τ)dτ=0 和||g||p≤M, Bα∈ L1(T) 有如下Fourier展开: Bα(t)=1/2π∑' k∈ Z(ik)-αeikt,∑'表示去掉 k=0的项. 相似文献
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Lutwak, Yang, and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the affne isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The properties and Lp analogs of the affne isoperimetric inequality are established for Lp-mixed curvature images. 相似文献
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F. A. Sukochev 《Israel Journal of Mathematics》2000,115(1):137-156
We classify, up to a linear-topological isomorphism, all separableL
p-spaces, 1≤p<∞, associated with von Neumann algebras of type I. In particular, anyL
p-space associated with an infinite-dimensional atomic von Neumann algebra is isomorphic tol
p, or toC
p, or to
. Further, anyL
p-space,p∈[1,∞),p∈2 associated with an infinite-dimensional von Neumann algebraM of type I is isomorphic to one of the following nine Banach spaces: lp, Lp, SP, Cp, Sp ⊕ Lp, Lp(Sp), Cp ⊕ Lp, Lp(Cp), Cp ⊕ Lp(Sp). In the casep=1 all the spaces in this list are pairwise non-isomorphic.
Research supported by the Australian Research Council. 相似文献
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Volker Krtschmer 《Fuzzy Sets and Systems》2002,130(3):1064
The classes of the Lp,∞- and Lp-metrics play an important role to develop a probability theory in fuzzy sample spaces. All of these metrics are known to be separable, but not complete. The classes are closely related as for each Lp,∞-metric there exists some Lp-metric which induces the same topology. This paper deals with the completion of the Lp,∞- and Lp-metrics. We can also show that the relationship between the classes of Lp,∞- and Lp-metrics still holds for the obtained respective classes of their completions. 相似文献
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Associated with the L
p
-curvature image defined by Lutwak, some inequalities for extended mixed p-affine surface areas of convex bodies and the support functions of L
p
-projection bodies are established. As a natural extension of a result due to Lutwak, an L
p
-type affine isoperimetric inequality, whose special cases are L
p
-Busemann-Petty centroid inequality and L
p
-affine projection inequality, respectively, is established. Some L
p
-mixed volume inequalities involving L
p
-projection bodies are also established. 相似文献
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L_p-混合质心体和对偶L_p-混合质心体 总被引:1,自引:0,他引:1
本文引进了L_p-混合质心体Γ_(p,i)K、对偶L_p-混合质心体Γ_(-p,i)K和R~n中星体K和L的L_p-混合调和Blaschke加K+_pL的概念,成功地解决了L_p-混合质心体和对偶L_p-混合质心体的Shephard型问题.并且结合星体的L_p-混合调和Blaschke加的概念,分别建立了L_p-混合质心体的均质积分和对偶均质积分的Brunn-Minkowski型不等式.所获结论推广了已有文献的结果. 相似文献
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V. B. Korotkov 《Siberian Mathematical Journal》2011,52(2):244-247
We present a criterion for an operator on L
p
to belong to the set I
p
of all sums of integral operators on L
p
and multiplication operators by functions in L
∞. We describe the closure of I
p
in the operator norm. We prove that the set L
p,1 of all sums of multiplication operators and operators on L
p
mapping the unit ball of L
p
into compact subsets of L
1 is a Banach algebra. 相似文献
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F. Weisz 《Analysis Mathematica》1996,22(3):229-242
ВВОДьтсьp-кВАжИлОкАл ьНыЕ ОпЕРАтОРы И ОДНО МЕРНыЕ ДИАДИЧЕскИЕ МАРтИНг АльНыЕ пРОстРАНстВА хАРДИH p . ДОкАжАНО, ЧтО ЕслИ сУБлИНЕИНыИ ОпЕРАтО РT p-кВАжИлОкАлЕН И ОгРА НИЧЕН ИжL ∞ ВL ∞, тО ОН ьВльЕтсь тАкжЕ ОгРАН ИЧЕННыМ ИжH p ВL p , (0<p<1). В кАЧЕстВЕ пРИ лОжЕНИь ДОкАжАНО, ЧтО МАксИМАльНыИ ОпЕРАт ОР ОДНОгО ЧЕжАРОВскОгО пАРАМЕтРА И МОДИФИцИ РОВАННых ЧЕжАРОВскИх сРЕДНИх МАРтИНгАлА ьВльЕтсь ОгРАНИЧЕННыМ ИжH p ВL p И ИМЕЕт слАБыИ тИп (L 1,L 1). Мы ВВОДИМ ДВУМЕРНыИ ДИА ДИЧЕскИИ гИБРИД пРОс тРАНстВ хАРДИH 1 И пОкАжыВАЕМ, Ч тО МАксИМАльНыИ ОпЕРАт ОР сРЕДНИх ЧЕжАРО ДВУ МЕРНОИ ФУНкцИИ ИМЕЕт слАБыИ тИп (H 1 # ,L 1). тАк Мы пОлУЧАЕМ, Ч тО ДВУпАРАМЕтРИЧЕск ИЕ сРЕДНИЕ ЧЕжАРО ФУНкц ИИf ?H 1 # ?L logL схОДьтсь пОЧтИ ВсУДУ к ИсхОДНОИ ФУНк цИИ. 相似文献
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Lutwak and Zhang proposed the notion of L p -centroid body. Further, Ma gave the definition of L p -mixed centroid body, and obtained affirmative form for the Shephard type problems of L p -mixed centroid body. In this article, we first give another affirmative form of the Shephard type problems for L p -mixed centroid body, meanwhile, obtain its negative form. Next, we also give an extension of the generalized Funk’s section theorem for L p -mixed centroid body. Finally, we establish two monotonicity inequalities of L p -mixed centroid body. 相似文献
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We derive a sharp nonasymptotic bound of parameter estimation of the L1/2 regularization.The bound shows that the solutions of the L1/2 regularization can achieve a loss within logarithmic factor of an ideal mean squared error and therefore underlies the feasibility and effectiveness of the L1/2regularization.Interestingly,when applied to compressive sensing,the L1/2 regularization scheme has exhibited a very promising capability of completed recovery from a much less sampling information.As compared with the Lp(0 p 1) penalty,it is appeared that the L1/2 penalty can always yield the most sparse solution among all the Lp penalty when 1/2 ≤ p 1,and when 0 p 1/2,the Lp penalty exhibits the similar properties as the L1/2 penalty.This suggests that the L1/2 regularization scheme can be accepted as the best and therefore the representative of all the Lp(0 p 1) regularization schemes. 相似文献
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We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality. 相似文献