Abstract
Based on a representation lemma, Riesz type kernels on the local field K and on the integer ring O in K are constructed. Furthermore, we discuss approximation theorems for the Lipschitz class Lip (Lr;a) and the Lp boundedness of such operators motivated by the open problem: Does σ n f → a , e f for f ∈ L1(0) (see M. H. Taibleson [6] and [5])?
Original language | American English |
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Journal | Approximation Theory and its Applications |
Volume | 11 |
DOIs | |
State | Published - Dec 1995 |
Disciplines
- Mathematics
Keywords
- Local field
- Poisson Summation Formula
- Riesz operator
- Type kernel
- Weak type