Received 08 January, 2001; accepted 05 June, 2001.
Communicated by: L. Pick
ABSTRACT.
In this paper we study convolution operators with measures
in
of the form
where is the unit ball of
, and is a homogeneous polynomial function. If
vanishes only on a finite union of lines, we prove that is bounded
from into if
belongs to certain explicitly described trapezoidal region.
Key words: Singular
Measures, -Improving, Convolution
Operators.
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-IMPROVING PROPERTIES FOR MEASURES ON 
SUPPORTED ON HOMOGENEOUS SURFACES IN SOME NON ELLIPTIC CASES
with measures 
in
of the form
where 
is the unit ball of
, and 
is a homogeneous polynomial function. If
vanishes only on a finite union of lines, we prove that 
if
belongs to certain explicitly described trapezoidal region.
