Brezis-Gallouet-Wainger-type inequality with critical fractional Sobolev space and BMO
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作者:
Nguyen-Anh Dao
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Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, VietnamTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
Nguyen-Anh Dao
[1
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Quoc-Hung Nguyen
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Ctr Ennio de Giorgi, Scuola Normale Super, Piazza Cavalieri 3, I-56100 Pisa, ItalyTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
Quoc-Hung Nguyen
[2
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机构:
[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ctr Ennio de Giorgi, Scuola Normale Super, Piazza Cavalieri 3, I-56100 Pisa, Italy
In this paper, we prove the Brezis-Gallouet-Wainger-type inequality involving the BMO norm, the fractional Sobolev norm, and the logarithmic norm of (C) over dot(eta), for eta is an element of (0, 1). (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi ArabiaPrincess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi Arabia
Alshabanat, Amal
Almoalim, Eman
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Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi ArabiaPrincess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi Arabia
Almoalim, Eman
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Jleli, Mohamed
Samet, Bessem
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King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi ArabiaPrincess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi Arabia
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Univ Utrecht, Math Inst, Hans Freudenthalgebouw,Budapestlaan 6, NL-3584 CD Utrecht, NetherlandsUniv Utrecht, Math Inst, Hans Freudenthalgebouw,Budapestlaan 6, NL-3584 CD Utrecht, Netherlands
机构:
TIFR Ctr Applicable Math, Post Bag 6503 Sharadanagar, Bangalore 560065, Karnataka, IndiaTIFR Ctr Applicable Math, Post Bag 6503 Sharadanagar, Bangalore 560065, Karnataka, India
Adimurthi
Mallick, Arka
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TIFR Ctr Applicable Math, Post Bag 6503 Sharadanagar, Bangalore 560065, Karnataka, IndiaTIFR Ctr Applicable Math, Post Bag 6503 Sharadanagar, Bangalore 560065, Karnataka, India