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https://rfos.fon.bg.ac.rs/handle/123456789/428| Title: | On a Littlewood-Paley type inequality | Authors: | Đorđević, Olivera Pavlović, Miroslav |
Keywords: | Littlewood-Paley inequalities;harmonic functions in R-N | Issue Date: | 2007 | Publisher: | Amer Mathematical Soc, Providence | Abstract: | The following is proved: If u is a function harmonic in the unit ball B subset of R-N and if 0 LT p LT = 1, then the inequality integral(partial derivative B) u*( y)(p) d sigma LT = C-p,C-N (vertical bar u( 0)|(p) + integral(B) ( 1 -vertical bar x vertical bar)(p-1) vertical bar del u( x)vertical bar p dV (x)) holds, where u* is the nontangential maximal function of u. This improves a recent result of Stoll. This inequality holds for polyharmonic and hyperbolically harmonic functions as well. | URI: | https://rfos.fon.bg.ac.rs/handle/123456789/428 | ISSN: | 0002-9939 |
| Appears in Collections: | Radovi istraživača / Researchers’ publications |
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