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Interpolation Properties of Certain Classes of Net Spaces

Interpolation Properties of Certain Classes of Net Spaces

The paper studies the interpolation properties of net spaces $$N_{p,q}(M)$$ , when $$M$$ is the set of dyadic cubes in $$\mathbb{R}^{n}$$ , and also when $$M$$ is the family of all cubes with parallel faces to the coordinate axes in $$\mathbb{R}^{n}$$ . It is shown that, in the case when …