EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES
Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 358-375
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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/}
}
TY - JOUR AU - LI, HONGLIANG AU - RUAN, JIANMIAO AU - SUN, QINXIU TI - EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES JO - Glasgow mathematical journal PY - 2022 SP - 358 EP - 375 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000161/ DO - 10.1017/S0017089521000161 ID - 10_1017_S0017089521000161 ER -
%0 Journal Article %A LI, HONGLIANG %A RUAN, JIANMIAO %A SUN, QINXIU %T EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES %J Glasgow mathematical journal %D 2022 %P 358-375 %V 64 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000161/ %R 10.1017/S0017089521000161 %F 10_1017_S0017089521000161
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