We consider the double power series with coefficients a G 0 for all j and k. Among others, we prove exact estimates of jk certain weighted L p -norms of f on the unit square, in terms of the coefficients a . Our results extend those of Askey and Boas, Hardy and Littlewood, Khan, jk Leindler, Matelj
On Weighted Integrability of Double Cosine Series
β Scribed by Babu Ram; Satvinder Singh Bhatia
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 152 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper we study weighted integrability of the sum of double cosine series.
w The results obtained extend a theorem of Moricz Proc. Amer. Math. Soc. 109
Ε½
.
x p 1990 417α425 on L -integrability of double cosine series and two theorems of w Ε½ .
x p
π SIMILAR VOLUMES
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