共查询到20条相似文献,搜索用时 62 毫秒
1.
作者引进了某些 Calderón-Zygmund型算子,并且讨论了它们在加权 Lebesgue空间、加权弱Lebesgue空间、加权Hardy空间和加权弱Hardy空间上的有界性.作者也考察了一些结果的尖锐性. 相似文献
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Lebesgue积分的产生及其影响(迎接ICM2002特约文章) 总被引:3,自引:0,他引:3
这是一篇由法国科学院院士 Kahane为纪念Lebesgue积分 100周年而写的文章,原文发表在《巴黎科学院通报》上,文章讲述了Lebesgue积分创立的历史背景及其影响,经作者同意,由武汉大学范爱华教授翻译成中文在本刊发表. 相似文献
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该文用Lebesgue-Stieltjes积分给出一个双曲型方程组广义解的新定义,在这个意义下证明了Cauchy问题整体广义解的存在性.这种解自然地包含了δ-激波. 相似文献
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Herz型空间中的Littlewood-Paley g函数 总被引:8,自引:0,他引:8
本文研究了包含 Littlewood-Paley g函数在内的一大类次线性算子从 Herz 空间到弱Herz空间WK中的有界 性;而当时,我们得到了g函数从 Herz型 Hardy空间 HK(Rn)到 Herz空间或弱Herz空间WK(Rn)中的有界性. 相似文献
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Hardy空间的等价刻画 总被引:1,自引:1,他引:0
设G为局部域K上的2n+1维Heisenberg群.本文证明了通过各种极大函数定义的Hardy空间的等价性,给出了Hardy空间的原子分解.利用这些等价定义及一些卷积算子定理,给出了Hardy空间的平方函数刻画——Luzin面积函数刻画与Litlewood-Paley平方函数刻画 相似文献
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本文证明了当α=n1-1q时,强奇异积分算子是从齐次加权Herz型Hardy空间HKα,pq(w1;w2)到齐次加权Herz空间Kα,pq(w1;w2)上的有界算子.而且,该算子在非齐次加权Herz型Hardy空间HKα,pq(w1;w2)上的有界性也被考查. 相似文献
9.
郭新 《数学年刊A辑(中文版)》1994,(4)
本文解决了酉群上Fourier级数的Cesaro求和的收敛问题。首先给出了时Cesaro核的Lebesgue常数的精确估计,然后得出酉群上Fourier级数Cesaro求和收敛的一般性结果. 相似文献
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本文继续文[7]的工作,讨论序连续。有限广义Fuzzy测度的Lebesgue分解问题。 相似文献
11.
We introduce certain Calderón-Zygmund-type operators and discuss their boundedness on spaces such as weighted Lebesgue spaces,
weighted weak Lebesgue spaces, weighted Hardy spaces and weighted weak Hardy spaces. The sharpness of some results is also
investigated.
Received December 1, 1998, Revised May 2, 1999, Accepted May 19, 1999 相似文献
12.
In this paper a two-weight boundedness of multidimensional Hardy operator and its dual operator acting from one weighted variable Lebesgue spaces with mixed norm into other weighted variable Lebesgue spaces with mixed norm spaces is proved. In particular, a new type two-weight criterion for multidimensional Hardy operator is obtained. 相似文献
13.
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
14.
证明了由BMO函数与α阶内蕴面积函数S_α和内蕴g_(λ,α)*函数生成的交换子都是由加权弱Hardy空间WH_(b,ω)~1到加权弱L1空间WL_ω~1上的有界算子. 相似文献
15.
Rovshan A. Bandaliev 《Czechoslovak Mathematical Journal》2013,63(4):1149-1152
In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the weighted variable Lebesgue space Georgian colleagues discovered a small but significant error in my paper, which was published as R.A.Bandaliev, The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces, Czech. Math. J. 60 (2010), 327–337. 相似文献
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In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions. 相似文献
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Rovshan A. Bandaliev 《Czechoslovak Mathematical Journal》2010,60(2):327-337
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue
spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted
variable Lebesgue space. 相似文献
20.
Doklady Mathematics - A characterization of the n-dimensional bilinear Hardy inequality in weighted Lebesgue spaces is given. 相似文献