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ON RIESZ TYPE KERNELS OVER LOCAL FIELDS 被引量:1

ON RIESZ TYPE KERNELS OVER LOCAL FIELDS
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摘要 Based on a representation lemma. Riesz type kernels on the local field K and on the integer ring O in K are coitstructed. Furthermore, we discuss approximation theorems for the Lipschitz class Lip(L ;α) ana the Lp boundedness of such operators motivated by the open problem: Does σηfa,s→f for f ∈L1(O) (see M. H. Taible-son [6] and [5])? Based on a representation lemma. Riesz type kernels on the local field K and on the integer ring O in K are coitstructed. Furthermore, we discuss approximation theorems for the Lipschitz class Lip(L ;α) ana the Lp boundedness of such operators motivated by the open problem: Does σηfa,s→f for f ∈L1(O) (see M. H. Taible-son [6] and [5])?
出处 《Analysis in Theory and Applications》 1995年第4期24-34,共11页 分析理论与应用(英文刊)
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