Acta mathematica scientia, Series B >
ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS
Received date: 2014-11-27
Revised date: 2014-05-20
Online published: 2015-11-01
Supported by
Supported by the National Natural Science Foundation of China (11426104, 11271124, 11201141, 11301136, and 61473332), Natural Science Foundation of Zhejiang province (LQ13A010005, LY15A010014) and Teachers Project of Huzhou University (RP21028).
The boundedness and the norm of a class of integral operators Ta, b, c Lλp spaces are studied in this paper. The author not only gives the sufficient and necessary condition for the boundedness of Ta, b, c on Lλp, but also obtains its accurate norm on Lλp for some range under the condition of c = n + a + b.
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 . DOI: 10.1016/S0252-9602(15)30068-0
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