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Far East Journal of Mathematical Sciences (FJMS)
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Abstract: W
Ì
RN
be a bounded domain. Let TK
K (x , y ) = l (x ,
y )/|x – y |N
– a .
In case N /2
< a
< N ,
we prove that if |l (x ,
y )| £
g (y ) and g
Î
LN / a ,
1 ( W ),
then ( l n (TK )) Î
l 2 ,
which improves the corresponding results in
[J. Funct. Anal. 37 (1980), 88-126], [Math.
Ann. 268 (1984), 127-136].
Keywords and phrases: eigenvalue distribution, p-summing operators, Lorentz spaces.
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P-ISSN: 0972-0871
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