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Direct and converse imbedding theorems for seminormed spaces

Прямые и обратные тео ремы вложения для полунормированн ых пространств

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Abstract

В работе исследуется задача об описании сл едов функций из изотропны х полунормированных пространств типа Соб олева в терминах полунормированных п ространств типа прос транств Бесова.

Полученное описание приn=2 носит характер необходимых и достат очных условий. Оно отличается от соо тветствующих резуль татов для анизотропных простр анств.

СССР, МОСКВА 103 498 ЗЕЛЕНОГРАД МОСКОВСКИЙ ИНСТИТУТ ЭЛЕКТРОННОЙ ТЕХНИКИ

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References

  1. O. V.Besov, V. I.Il'in, S. M.Nikolskii,Integral representations of functions and imbedding theorems (Nauka, 1975). (Russian)

  2. L. D. Kudrjavcev, Imbedding theorems for function classes defined on the whole space or half spaces,Mat. Sbornik,70 (1966), 1–35. (Russian)

    Google Scholar 

  3. L. D. Kudrjavcev, On traces of functions of several variables and fields of directions being regular at infinity for the Laplacian,Trudy Mat. Inst. Steklov.,112 (1971), 256–270. (Russian)

    Google Scholar 

  4. L. D. Kudrjavcev, On polynomial traces and moduli of smoothness of functions of several variables,Trudy Mat. Inst. Steklov.,117 (1972), 180–211. (Russian)

    Google Scholar 

  5. Yu. S. Nikolskii, Imbedding theorems for nonisotropic spaces of differentiable functions,Trudy Mat. Inst. Steklov.,140 (1976), 212–251. (Russian)

    Google Scholar 

  6. Yu. S. Nikolskii, Inequalities between some seminorms of differentiable functions of several variables,Trudy Mat. Inst. Steklov.,150 (1979), 239–263. (Russian)

    Google Scholar 

  7. O. A. Salieva, Direct and converse imbedding theorems for seminormed spaces,Trudy Mat. Inst. Steklov.,180 (1987), 193–196. (Russian)

    Google Scholar 

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  1. МОСКОВСКИЙ ИНС ТИТУТ ЭЛЕКТРОННОЙ ТЕ ХНИКИ, ЗЕЛЕН ОГРАД, 103 498, МОСКВА, СССР

    O. A. Salieva

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  1. O. A. Salieva
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Salieva, O.A. Direct and converse imbedding theorems for seminormed spaces. Analysis Mathematica 15, 145–158 (1989). https://doi.org/10.1007/BF01910946

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