Compactness of Fourier integral operators on weighted modulation spaces

Boundedness of Fourier Integral Operators on Modulation Spaces

It is known that Fourier integral operators arising when solving Schrödinger-type operators are bounded on the modulation spaces Mp,q, for 1 ≤ p = q ≤ ∞, provided their symbols belong to the Sjöstrand class M. However, they generally fail to be bounded on Mp,q for p 6= q. In this paper we study several additional conditions, to be imposed on the phase or on the symbol, which guarantee the bound...

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...

Stability of Localized Integral Operators on Weighted L Spaces

In this paper, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Hölder regularity and decay off the diagonal. Our model example is the Bessel potential operator Jγ , γ > 0. We show that if such a localized integral operator has stability on a weighted function space Lw for some p ∈ [1,∞) and Muckenhoupt Ap-weight w, then it has stability...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball