EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES
Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 358-375

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DOI

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.
LI, HONGLIANG; RUAN, JIANMIAO; SUN, QINXIU. EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES. Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 358-375. doi: 10.1017/S0017089521000161
@article{10_1017_S0017089521000161,
     author = {LI, HONGLIANG and RUAN, JIANMIAO and SUN, QINXIU},
     title = {EMBEDDING {THEOREM} {OF} {THE} {WEIGHTED} {SOBOLEV{\textendash}LORENTZ} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {358--375},
     year = {2022},
     volume = {64},
     number = {2},
     doi = {10.1017/S0017089521000161},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000161/}
}
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