Multipliers in weighted Sobolev spaces on the axis
Осьтегi салмақты Соболев кеңiстiктерiндегi мультипликаторлар
Мультипликаторы в весовых пространствах Соболева на оси
Myrzagaliyeva A.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#107Issue 3105 - 115 pp.
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wp, vl to a weighted Lebesgue space on the positive real half line. The coefficients of differential operators are often assumed to be pointwise multipliers of function spaces. The author introduces pointwise multipliers in weighted Sobolev spaces; obtains the description of the space of multipliers M(W1 → W2) for a pair of weighted Sobolev spaces (W1, W2) with weights of general type.
admissible function , differential operator , Otelbaev function , pointwise multiplier , slow variation condition , Sobolev space , weighted space
Text of the article Перейти на текст статьи
Astana IT University, Nur-Sultan, Kazakhstan
Astana IT University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026