Embedding Besov type spaces Bp(λ) into tent spaces and Volterra integral operators

Embedding Vector-valued Besov Spaces into Spaces of Γ-radonifying Operators

It is shown that a Banach space E has type p if and only for some (all) d ≥ 1 the Besov space B ( 1 p − 1 2 )d p,p (R ;E) embeds into the space γ(L2(Rd), E) of γ-radonifying operators L2(Rd) → E. A similar result characterizing cotype q is obtained. These results may be viewed as E-valued extensions of the classical Sobolev embedding theorems.

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...

Volterra-Type Operators on Zygmund Spaces

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Embedding normed linear spaces into $C(X)$

‎It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$‎. ‎Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology‎, ‎which is compact by the Banach--Alaoglu theorem‎. ‎We prove that the compact Hausdorff space $X$ can ...