Trace operators for modulation, α-modulation and Besov spaces
نویسندگان
چکیده
منابع مشابه
Trace Operators for Modulation, α-Modulation and Besov Spaces
The α-modulation spaces M p,q , introduced by Gröbner in [10] are a class of function spaces that contain Besov spaces B p,q (α = 1) and modulation spaces M s p,q (α = 0) as special cases. There are two kinds of basic coverings on Euclidean R which is very useful in the theory of function spaces and their applications, one is the uniform covering R = ⋃ k∈Zn Qk, where Qk denote the unit cube wit...
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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...
Trace Ideals for Pseudo-differential Operators and Their Commutators with Symbols in Α-modulation Spaces
The fact that symbols in the modulation space M1,1 generate pseudo-differential operators of the trace class was first mentioned by Feichtinger and the proof was given by Gröchenig [12]. In this paper, we show that the same is true if we replace M1,1 by more general α-modulation spaces which include modulation spaces (α = 0) and Besov spaces (α = 1) as special cases. The result with α = 0 corre...
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We determine the trace of Besov spaces Bsp,q(R ) and Triebel-Lizorkin spaces Fsp,q(R ) – characterized via atomic decompositions – on hyperplanes R, n > m ∈ N, for parameters 0 < p, q < ∞ and s > 1 p . The limiting case s = 1 p is investigated as well. We generalize these assertions to traces on the boundary Γ = ∂Ω of bounded C domains Ω. Our results remain valid considering the classical space...
متن کاملBanach frames for α-modulation spaces
This paper is concerned with the characterization of α-modulation spaces by Banach frames, i.e., stable and redundant nonorthogonal expansions, constituted of functions obtained by a suitable combination of translation, modulation and dilation of a mother atom. In particular, the parameter α ∈ [0,1] governs the dependence of the dilation factor on the frequency. The result is achieved by exploi...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2011
ISSN: 1063-5203
DOI: 10.1016/j.acha.2010.04.003