Centered forms for functions in several variables
✍ Scribed by H Ratschek; G Schröder
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 446 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
We prove that the spherical partial sums of the Fourier series of the indicator function of a ball inside the cube of width \(2 \pi\) converge at the center of the ball if and only if the dimension is strictly less than three. For more general radial functions in three dimensions we give a necessary
Some reversed Hiilder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [l], (21, (31, [5], [S], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case with n functions o