ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

doi:10.1016/S0252-9602(15)30068-0

Abstract

Abstract:

The boundedness and the norm of a class of integral operators T_{a, b, c} L_λ^p spaces are studied in this paper. The author not only gives the sufficient and necessary condition for the boundedness of T_{a, b, c} on L_λ^p, but also obtains its accurate norm on L_λ^p for some range under the condition of c = n + a + b.

Key words: integral operators, sufficient condition, necessary condition, operator norm, hypergeometric functions

CLC Number:

47B38

Lifang ZHOU. ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS[J].Acta mathematica scientia,Series B, 2015, 35(6): 1475-1482.

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