Cesàro summability of Laguerre series
✍ Scribed by D.P Gupta
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 386 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
The two-dimensional classical Hardy spaces H p (T\\_T) on the bidisc are introduced and it is shown that the maximal operator of the CesaÁ ro means of a distribution is bounded from H p (T\\_T) to L p (T 2 ) ( 3Â4 (T\\_T), L 1 (T 2 )) where the Hardy space H 1 > (T\\_T) is defined by the hybrid maxi
The d-dimensional classical Hardy spaces H T are introduced and it is shown p that the maximal operator of the Cesaro means of a distribution is bounded from Ž that the supremum in the maximal operator is taken over a positive cone. As a consequence we obtain the summability result due to Marcinkie
This paper deals with the CesaÁ ro means of conjugate Jacobi series introduced by Muckenhoupt and Stein and Li. The exact estimates of the norms of the conjugate (C, $) kernel for 0 $ :+ 1 2 are obtained. It is proved that when $>:+ 1 2 , the (C, $) means of the conjugate Jacobi expansion of a funct
It is shown that the Cesbro method of summing a series can be used to sum the non-convergent series resulting from t?Le differentiation of a Pourier series representation of a function with a discontinuity. This procedure is contrasted with Lanczos method of a-factors. The method is then applied i