共查询到20条相似文献,搜索用时 31 毫秒
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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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该文主要确立了当b∈BMO 时, 极大高阶奇异积分算子交换子Tb, m* 满足如下不等式
|{y∈Rn:Tb, m*f(y)>λ}|≤C||b||mBMO∫Rn|f(y)|/λ (1+log+|f(y)|/λ)mdy
且Tb, m* 在Lp(Rn)(1 < p <∞上有界. 相似文献
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设 μ 是 [0, 1)上的正规函数,Bn 是 n 维复空间 Cn 上的单位球, ψ 是 Bn 上的一个全纯函数,? 是 Bn 上的全纯自映射. 作者考虑如下一种积分算子:T?,ψ(f)(z) =Z01f[?(tz)]Rψ(tz)dt/t, z ∈ Bn.作者主要刻画了正规权Dirichlet型空间Dpμ(Bnn) (0 < p ≤ 1) 上 T?,ψ 的有界性和紧性.同时, 本文利用Carleson 方块和Bergman球的测度讨论了正规权Bergman型空间Apμ(Bn) 到 Dpμ(Bn) (p > 0)的同样问题. 对讨论的情形本文均给出了充要条件. 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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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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本文讨论了单位圆中Hardy空间H∞到p-Bloch空间βp的复合算子T1,φ加权复合算子Tψ,φ的有界性,也讨论了H∞到小p-Bloch空间β0p的复合算子T1,φ的有界性问题;另外还讨论了小p-Bloch空间到H∞空间的点乘子及小p-Bloch空间上复合算子的紧性等. 相似文献
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In this note, we characterize finite three-dimensional affine spaces as the only linear spaces endowed with set Ω of proper subspaces having the properties (1) every line contains a constant number of points, say n, with n>2; (2) every triple of noncollinear points is contained in a unique member of Ω; (3) disjoint or coincide is an equivalence relation in Ω with the additional property that every equivalence class covers all points. We also take a look at the case n=2 (in which case we have a complete graph endowed with a set Ω of proper complete subgraphs) and classify these objects: besides the affine 3-space of order 2, two small additional examples turn up. Furthermore, we generalize our result in the case of dimension greater than three to obtain a characterization of all finite affine spaces of dimension at least 3 with lines of size at least 3. 相似文献
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《Journal of Functional Analysis》2023,284(1):109739
We give a sufficient (and, in the case of a compact domain, a necessary) condition for the embedding of Sobolev space of functions with integrable gradient into Besov-Orlicz spaces to be bounded. The condition has a form of a simple integral inequality involving Young and weight functions. We provide an example with Matuszewska-Orlicz indices of involved Orlicz norm equal to one. The main tool is the molecular decomposition of functions from a BV space. 相似文献
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Kyriakos Keremedis Eleftherios Tachtsis 《Proceedings of the American Mathematical Society》2007,135(4):1205-1211
We show that the existence of a countable, first countable, zero-dimensional, compact Hausdorff space which is not second countable, hence not metrizable, is consistent with ZF.
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Antonio S. Granero Henryk Hudzik 《Proceedings of the American Mathematical Society》1996,124(12):3777-3787
In this paper we study some structural and geometric properties of the quotient Banach spaces , where is an arbitrary set, is an Orlicz function, is the corresponding Orlicz space on and , being the ideal of elements with finite support. The results we obtain here extend and complete the ones obtained by Leonard and Whitfield (Rocky Mountain J. Math. 13 (1983), 531-539). We show that is not a dual space, that , if for every , that has no smooth points, that it cannot be renormed equivalently with a strictly convex or smooth norm, that is a Grothendieck space, etc.
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张静 《高校应用数学学报(A辑)》2017,32(1)
给出连通的rectifiable空间是局部序列连通(或局部连通)的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通(或局部序列连通)的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开rectifiable子空间. 相似文献
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We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Sobolev and Besov spaces are proved. 相似文献
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Joaquim Martín 《Journal of Mathematical Analysis and Applications》2008,344(1):99-123
We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces. 相似文献