Embedding Nikol'skiA classes into Lorentz spaces

作者：Simonov B V^*

来源：Siberian Mathematical Journal, 2010, 51(4): 728-744.

DOI：10.1007/s11202-010-0074-8

• embedding of function classes
• Nikol'skii class
• Lorentz space
• continuity modulus
• periodic function

We consider the embeddings of the Nikol'skii classes of Lorentz spaces into Lorentz spaces. We obtain necessary and sufficient conditions for these embeddings under some restrictions on the fundamental functions of a Lorentz space.

• 出版日期2010-7