Local smoothing and Hardy spaces for Fourier integral operators

On the Hardy-type Integral Operators in Banach Function Spaces

Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.

Commutators of integral operators with variable kernels on Hardy spaces

Abstract. Let TΩ,α (0 ≤ α < n) be the singular and fractional integrals with variable kernel Ω(x,z), and [b,TΩ,α ] be the commutator generated by TΩ,α and a Lipschitz function b. In this paper, the authors study the boundedness of [b,TΩ,α ] on the Hardy spaces, under some assumptions such as the Lr-Dini condition. Similar results and the weak type estimates at the end-point cases are also given...

Local Hardy Spaces Associated with Inhomogeneous Higher Order Elliptic Operators

Let L be a divergence form inhomogeneous higher order elliptic operator with complex bounded measurable coefficients. In this article, for all p ∈ (0, ∞) and L satisfying a weak ellipticity condition, the authors introduce the local Hardy spaces hpL(R ) associated with L, which coincide with Goldberg’s local Hardy spaces h(R) for all p ∈ (0, ∞) when L ≡ −∆ (the Laplace operator). The authors al...

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...

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