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A note on BMO and its application
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2005, Vol. 303 Issue 2, p696-698. 3p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this note, at first we will point out a fact which is implicitly contained in the original paper of John and Nirenberg [Comm. Pure Appl. Math. 14 (1961) 415–426]. If a function f satisfies (obviously if the value of left term is finite it must be zero), then there holds where is the nondecreasing rearrangement of f. As a consequence, we get the following inequality By this inequality, the bilinear estimates in BMO in [Math. Z. 235 (2000) 173–194] can be easily improved. These bilinear estimates are crucial for the main results in that paper. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 303
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19204167
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.08.058