TY - JOUR
T1 - Rough oscillatory singular integral operators of nonconvolution type
AU - Al-Salman, Ahmad
PY - 2004/11/1
Y1 - 2004/11/1
N2 - In this paper, we study a classes of oscillatory singular integral operators of nonconvolution type with phases more general than polynomials. We prove that such operators are bounded on Lp provided their kernels satisfy a very weak condition. In addition, we also study the related truncated oscillatory singular integral operators. Moreover, we present a class of unbounded oscillatory singular integral operators.
AB - In this paper, we study a classes of oscillatory singular integral operators of nonconvolution type with phases more general than polynomials. We prove that such operators are bounded on Lp provided their kernels satisfy a very weak condition. In addition, we also study the related truncated oscillatory singular integral operators. Moreover, we present a class of unbounded oscillatory singular integral operators.
KW - Block spaces
KW - Hardy-Littlewood maximal function
KW - L estimates
KW - Oscillatory singular integral operators
KW - Rough kernels
KW - Truncated maximal oscillatory singular integrals
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U2 - 10.1016/j.jmaa.2004.06.006
DO - 10.1016/j.jmaa.2004.06.006
M3 - Article
AN - SCOPUS:4644318838
SN - 0022-247X
VL - 299
SP - 72
EP - 88
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -