DOAJ Open Access 2022

Multipliers in weighted Sobolev spaces on the axis

A. Myrzagaliyeva

Abstrak

This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v 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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (1)

A. Myrzagaliyeva

Format Sitasi

APA MLA BibTeX

Myrzagaliyeva, A. (2022). Multipliers in weighted Sobolev spaces on the axis. https://doi.org/10.31489/2022m3/105-115

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m3/105-115
Akses: Open Access ✓