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Published online by Cambridge University Press: 10 June 2021
Weight criteria for embedding of the weighted Sobolev–Lorentz spaces to the weighted Besov–Lorentz spaces built upon certain mixed norms and iterated rearrangement are investigated. This gives an improvement of some known Sobolev embedding. We achieve the result based on different norm inequalities for the weighted Besov–Lorentz spaces defined in some mixed norms.
Project supported by the Zhejiang Provincial Natural Science Foundation of China (LY19A010001 and LY18A010015) and the National Natural Science Foundation of China (11961056 and 11771358).