Multipliers spaces, Muckenhoupt weights and pseudo-differential operators
نویسندگان
چکیده
منابع مشابه
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...
Pseudo-differential Operators on Fractals and Other Metric Measure Spaces
We define and study pseudo-differential operators on a class of fractals that include the post-critically finite self-similar sets and Sierpinski carpets. Using the sub-Gaussian estimates of the heat operator we prove that our operators have kernels that decay and, in the constant coefficient case, are smooth off the diagonal. Our analysis can be extended to products of fractals. While our resu...
متن کاملScalar and Vector Muckenhoupt Weights
We inspect the relationship between the Ap,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular we will show if we are considering a norm-valued function ρ(·) such that, uniformly in all nonzero vectors x, ρ(·)(x) p ∈ Ap and ρ(·)(x) ∈ Aq then the following hold: If p = q = 2, and functions take values in R then ρ ∈ A2,2. If p = q = ...
متن کاملModulation Spaces, Harmonic Analysis and Pseudo-differential Operators
The (classical) modulation spaces, as introduced by Feichtinger during the 80’s, consist of all tempered distributions whose short-time Fourier transforms (STFT) have finite mixed (weighted) Lebesgue norm. By choosing the Lebesgue parameters and weight functions in appropriate ways, one may quantify the degrees of asymptotic decay and singularity of the distributions in a ”detailed way”. A majo...
متن کاملEntropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights.∗
We study compact embeddings for weighted spaces of Besov and TriebelLizorkin type where the weights belong to Muckenhoupt Ap classes. We focus our attention on the influence of singular points of the weights on the compactness of the embeddings as well as on the asymptotic behaviour of their entropy and approximation numbers.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.12.040