# On Weighted Hadamard-Type Singular Integrals and Their Applications

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In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard CalderÃ³nâ€“Zygmund kernels, and obtain their boundedness on L p (â„ n ) for 1 < p < âˆž.

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Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two P novel subclasses Da,c,Î»[p,Î±,A,B] and Î£"p,a,c,Î»[Î±, Î²] of meromorphically multivalent functions. In this paper, we obtain coefficient estimates, distortion...

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- POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES. N. KALTON; S. MONTGOMERY-SMITH; K. OLESZKIEWICZ; Y. TOMILOV // Journal of the London Mathematical Society;Oct2004, Vol. 70 Issue 2, p463
It is considered whether $ L\,{=}\,\limsup_{n\to\infty} n \snormo{T^{n+1}-T^n}\,\lt\,\infty$ implies that the operator $T$ is power-bounded. It is shown that this is so if $L\lt1/e$, but it does not necessarily hold if $L\,{=}\,1/e$. As part of the methods,...