Fourier Multipliers and Littlewood-Paley for modulation spaces

Littlewood-Paley g-Functions and Multipliers for the Laguerre Hypergroup

Littlewood-Paley characterization for Qα(R) spaces

In Baraka’s paper [2], he obtained the Littlewood-Paley characterization of Campanato spaces L and introduced Lp,λ,s spaces. He showed that L2,λ,s = (−△)− s 2L for 0 ≤ λ < n+ 2. In [7], by using the properties of fractional Carleson measures, J Xiao proved that for n ≥ 2, 0 < α < 1. (−△)−α2 L is essential the Qα(R) spaces which were introduced in [4]. Then we could conclude that Qα(R) = L2,n−2α...

A Class of Fourier Multipliers for Modulation Spaces

We prove the boundedness of a general class of Fourier multipliers, in particular of the Hilbert transform, on modulation spaces. In general, however, the Fourier multipliers in this class fail to be bounded on L spaces. The main tools are Gabor frames and methods from time-frequency analysis.

Paley-Littlewood decomposition for sectorial operators and interpolation spaces

We prove Paley-Littlewood decompositions for the scales of fractional powers of 0-sectorial operators A on a Banach space which correspond to Triebel-Lizorkin spaces and the scale of Besov spaces if A is the classical Laplace operator on L(R). We use the H∞calculus, spectral multiplier theorems and generalized square functions on Banach spaces and apply our results to Laplace-type operators on ...

wavelets, modulation spaces and pseudidifferential operators

مبحث تحلیل زمان-فرکانسی سیگنالها یکی از مهمترین زمینه های مورد بررسی پژوهشگران علوم ÷ایه کاربردی و فنی مهندسی میباشد.در این پایان نامه فضاهای مدولاسیون به عنوان زمینه اصلی این بررسی ها معرفی گردیده اند و نتایج جدیدی که در حوزه های مختلف ریاضی،فیزیک و مهندسی کاربرداساسی و فراوانی دارند استوار و بیان شده اند.به ویژه در این پایان نامه به بررسی و یافتن مقادیر ویژه عملگر های شبه دیفرانسیل با سمبل در...