论文标题

Lorentz-Zygmund和Grand Lebesgue空间与规范之间的关系

Relations between Lorentz-Zygmund and Grand Lebesgue Spaces and norms

论文作者

Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid

论文摘要

我们在大勒布斯格空间和(广义)洛伦兹 - 齐格蒙德(Lorentz-Zygmund)之间建立了嵌入的特性。我们扩展了一些已知的先前的结果,该结果涉及大勒布斯格和古典Lebesgue-riesz空间之间的嵌入定理,我们显示了获得的估计值的精确性。

We establish imbedding properties between Grand Lebesgue Spaces and (generalized) Lorentz-Zygmund ones. We extend some known previous results concerning imbedding theorems between Grand Lebesgue and classical Lebesgue-Riesz spaces and we show the exactness of the obtained estimates.

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