Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers
MetadataShow full item record
In this thesis we deal with two problems in harmonic analysis. In the ﬁrst problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier theorems on the Heisenberg group and also show in the context of a theorem of Weis on operator valued Fourier multipliers that the R-boundedness of the derivative of the multiplier is not necessary for the boundedness of the multiplier transform. In the second problem we deal with a variation of a theorem of Mauceri concerning the Lp bound-edness of operators Mwhich are known to be bounded on L2 .We obtain sufﬁcient conditions on the kernel of the operaor Mso that it satisﬁes weighted Lp estimates. As an application we prove Lp boundedness of Hermite pseudo-multipliers.
- Mathematics (MA) 
Showing items related by title, author, creator and subject.
Development and Performance Study of Thick Gas Electron Multiplier (THGEM) Based Radiation Detector Garai, Baishali (2018-04-23)Radiations can be classified as either ionizing or non-ionizing according to whether it ionizes or does not ionize the medium through which they propagate. X-rays photons and gamma rays are the typical examples of ionizing ...
A Polymorphic Finite Field Multiplier Das, Saptarsi (2013-07-03)Cryptography algorithms like the Advanced Encryption Standard, Elliptic Curve Cryptography algorithms etc are designed using algebraic properties of finite fields. Thus performance of these algorithms depend on performance ...
Low Power LO Generation Based On Frequency Multiplication Technique Pandey, Jagadish Narayan (2008-08-27)TO achieve high level of integration in order to reduce cost, heterodyne architecture has made way for low-IF and zero-IF (direct conversion) receiver architectures. However, a very serious issue in implementing both zero ...