In this paper we prove the boundedness of certain convolution operatorin a weighted Lebesgue space with kernel satisfying the generalizedH¨ ormander’s condition. The sufficient conditions for the pair of generalweights ensuring the validity of two-weight inequalities of a strong typeand of a weak type for convolution operator with kernel satisfying thegeneralized H¨ormander’s condition are found.
Weighted Lebesgue space Singular integral Kernel Generalized H¨ormander’s condition Boundedness.
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Primary Language | Turkish |
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Journal Section | Mathematics |
Authors | |
Publication Date | March 1, 2013 |
Published in Issue | Year 2013 Volume: 42 Issue: 3 |