On Riesz type kernels over local fields

Shijun Zheng

doi:10.1007/BF02836827

On Riesz type kernels over local fields

Shijun Zheng

Mathematical Sciences

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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	English
Pages (from-to)	24-34
Number of pages	11
Journal	Analysis in Theory and Applications
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/BF02836827
State	Published - Dec 1995

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General Mathematics

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title = "On Riesz type kernels over local fields",

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])?",

author = "Shijun Zheng",

note = "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...",

year = "1995",

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language = "English",

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AU - Zheng, Shijun

N1 - 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...

PY - 1995/12

Y1 - 1995/12

N2 - 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])?

AB - 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])?

UR - https://www.scopus.com/pages/publications/51249167653

U2 - 10.1007/BF02836827

DO - 10.1007/BF02836827

M3 - Article

SN - 1000-9221

VL - 11

SP - 24

EP - 34

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 4

ER -

On Riesz type kernels over local fields

Abstract

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