Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes

In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded between weak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummel classes $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on $ p, \lambda $ and $ \alpha $. More precisely, we prove that $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) \subseteq L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) \subseteq S_{\alpha}\left( \mathbb{R}^{n} \right) $ where $ 1

Keywords:

• Combinatorics
• Lambda
• Physics

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