On the extrapolation estimates

On the Range Space of Yano’s Extrapolation Theorem and New Extrapolation Estimates at Infinity

A derivation of extrapolation algorithms based on error estimates

In this paper, we shall emphasize the role played by error estimates and annihilation diierence operators in the construction of extrapolations processes. It is showed that this approach leads to a uniied derivation of many extrapolation algorithms and related devices, to general results about their kernels and that it opens the way to many new algorithms. Their convergence and acceleration pro...

A Note on A∞ Estimates via Extrapolation of Carleson Measures

In this note we present a different approach to the A∞ extrapolation via Carleson measures developed in [HM] and we illustrate the use of this technique by reproving a well known result of [FKP]. The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis ANU, Canberra, 13--17 July, 2009 Proceedings of the Centre for Mathematics and its Applications 44 (2010), 143--166.

Certain Estimates of Oscillatory Integrals and Extrapolation

In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we obtain L boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. Keywords—Fourier transform, oscillatory integrals, Orlicz spaces, B...

Lp Estimates for Marcinkiewicz integral operators and extrapolation

*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...