共查询到20条相似文献,搜索用时 109 毫秒
1.
证明了Virasoro代数的不可分解Harish-Chandra模一定是(ⅰ) 一致有界模, 或(ⅱ) 范畴O的模, 或(ⅲ) 范畴O-的模, 或(ⅳ)具有平凡模作为其复合因子的一类模. 相似文献
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扭曲的方法在构造新的代数结构与余代数结构中起了重要的作用.本文首先把扭曲的方法运用到模与余模的构造中,得到扭曲模和扭曲余模;其次在更加一般的情形下给出相关扭曲Hopf模的基本同构定理;最后考虑在HopfYD模中如何使扭曲模构成相关Yetter-Drinfel'd模和相关Hopf模. 相似文献
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扭曲的方法在构造新的代数结构与余代数结构中起了重要的作用.本文首先把扭曲的方法运用到模与余模的构造中,得到扭曲模和扭曲余模;其次在更加一般的情形下给出相关扭曲Hopf模的基本同构定理;最后考虑在HopfYD模中如何使扭曲模构成相关Yetter-Drinfel'd模和相关Hopf模. 相似文献
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本文对H*上的有理模M做了一些讨论,刻划了此类模的某些性质,并利用这些性质得到了右Smash积A#HR[kG]*上模M是完全可约模的条件。 相似文献
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本文主要证明了:(1)如果右R-模MR是(α,δ)-compatible且(α,δ)-Armendariz,则右R[x;α,δ]-模M[x]是zip模当且仅当右R-模MR是zip模;(2)如果(S,)是可消无挠严格序幺半群且M_R是S-Armendariz模,则右[[R~S,]]-模[[M~S,]]_([[R~S,]]是zip模当且仅当右R-模M_R是zip模;(3)如果M_R是reduced且σ-compatible模,G为序群,则Malcev-Neumann环R*((G))上模M*((G))_(R*((G)))是zip模当且仅当右R-模M_R是zip模;因此一些文献中关于zip环与zip模的部分结论可以看作是本论文相关结论的推论. 相似文献
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设A是有限维代数 ,R为代数A的对偶扩张代数 .研究了倾斜理论及其导出的挠理论 .首先通过函子研究了倾斜R 模与倾斜A 模的重要联系 ,给出了M AR是一个倾斜R-模的充分必要条件.其次讨论了两个倾斜模给出模范畴中同一子范畴的不同等价问题 .对倾斜R-模M1 AR和M2 AR ,证明了它们导出modR中相同的挠理论当且仅当M1和M2 导出modA中相同的挠理论 . 相似文献
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本文在Bergman空间Bqp(01)中研究关于旋转连续模的Hardy Littlewood逆定理,在通常条件下,得到了与在空间Hp(0
相似文献
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O. S. Rothaus 《Proceedings of the American Mathematical Society》1998,126(8):2309-2314
We show that many of the recent results on exponential integrability of Lip 1 functions, when a logarithmic Sobolev inequality holds, follow from more fundamental estimates of the growth of norms under the same hypotheses.
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Zdzisław Otachel 《Mathematische Nachrichten》2020,293(7):1390-1404
We present some new results on the Cauchy–Schwarz inequality in inner product spaces, where four vectors are involved. This naturally extends Pólya–Szegö reverse of Schwarz's inequality onto complex inner product spaces. Applications to the famous Hadamard's inequality about determinants and the triangle inequality for norms are given. 相似文献
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A Hardy type two-weighted inequality is investigated for the multidimensional Hardy operator in the norms of generalized Lebesgue spaces L p(·). Equivalent necessary and sufficient conditions are found for the ${L^{p(\cdot)} \longrightarrow L^{q(\cdot)}}A Hardy type two-weighted inequality is investigated for the multidimensional Hardy operator in the norms of generalized Lebesgue
spaces L
p(·). Equivalent necessary and sufficient conditions are found for the Lp(·) ? Lq(·){L^{p(\cdot)} \longrightarrow L^{q(\cdot)}} boundedness of the Hardy operator when exponents q(0) < p(0), q(∞) < p(∞). It is proved that the condition for such an inequality to hold coincides with the condition for the validity of two-weighted
Hardy inequalities with constant exponents if we require of the exponents to be regular near zero and at infinity. 相似文献
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The subject is traces of Sobolev spaces with mixed Lebesgue norms on Euclidean space. Specifically, restrictions to the hyperplanes given by x1 = 0 and xn = 0 are applied to functions belonging to quasi‐homogeneous, mixed norm Lizorkin–Triebel spaces ; Sobolev spaces are obtained from these as special cases. Spaces admitting traces in the distribution sense are characterised up to the borderline cases; these are also covered in case x1 = 0. For x1 the trace spaces are proved to be mixed‐norm Lizorkin–Triebel spaces with a specific sum exponent; for xn they are similarly defined Besov spaces. The treatment includes continuous right‐inverses and higher order traces. The results rely on a sequence version of Nikol'skij's inequality, Marschall's inequality for pseudodifferential operators (and Fourier multiplier assertions), as well as dyadic ball criteria. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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A reduction theorem is established, showing that any Sobolev inequality, involving arbitrary rearrangement-invariant norms with respect to the Gauss measure in Rn, is equivalent to a one-dimensional inequality, for a suitable Hardy-type operator, involving the same norms with respect to the standard Lebesgue measure on the unit interval. This result is exploited to provide a general characterization of optimal range and domain norms in Gaussian Sobolev inequalities. Applications to special instances yield optimal Gaussian Sobolev inequalities in Orlicz and Lorentz(-Zygmund) spaces, point out new phenomena, such as the existence of self-optimal spaces, and provide further insight into classical results. 相似文献
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Let Ω be a domain in RN. It is shown that a generalized Poincaré inequality holds in cones contained in the Sobolev space W1,p(·)(Ω), where p(·) :(-Ω)→ [1,∞[ is a variable exponent. This inequality is itself a corollary to a more general result about equivalent norms over such cones. The approach in this paper avoids the difficulty arising from the possible lack of density of the space D(Ω) in the space {v ∈ W1,p(·)(Ω);tr v= 0 on aΩ}. Two applications are also discussed. 相似文献
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给出了齐型空间上Lipschitz函数空间的两个新的等价范数,证明了Lipschitz函数满足与BMO函数类似的Joho-Nirenberg型不等式. 相似文献
19.
Long Huang & Dachun Yang 《数学研究》2021,54(3):262-336
The targets of this article are threefold. The first one is to give a survey on the
recent developments of function spaces with mixed norms, including mixed Lebesgue
spaces, iterated weak Lebesgue spaces, weak mixed-norm Lebesgue spaces and mixed
Morrey spaces as well as anisotropic mixed-norm Hardy spaces. The second one is
to provide a detailed proof for a useful inequality about mixed Lebesgue norms and
the Hardy–Littlewood maximal operator and also to improve some known results on
the maximal function characterizations of anisotropic mixed-norm Hardy spaces and
the boundedness of Calderón–Zygmund operators from these anisotropic mixed-norm Hardy spaces to themselves or to mixed Lebesgue spaces. The last one is to correct
some errors and seal some gaps existing in the known articles. 相似文献
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Javier Soria 《Mathematische Nachrichten》1992,155(1):231-256
We generalize the theory of tent spaces introduced in [9] and [10], to consider weighted norms related to some function parameters (see [11]). We study their atomic decomposition, from which we obtain a weighted inequality for a certain fractional maximal operator. We also find the dual spaces, and get a new class of CARLESON measures and we identify the intermediate spaces when using several methods of interpolation. 相似文献