Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space
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Publication:5742937
DOI10.3906/mat-1807-187zbMath1486.47053OpenAlexW2911013377MaRDI QIDQ5742937
Ryskul Oinarov, Aigerim A. Kalybay
Publication date: 8 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1807-187
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Kernel operators (47B34)
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Boundedness of one class of integral operators from second order weighted Sobolev space to weighted Lebesgue space ⋮ Boundedness of Riemann-Liouville operator from weighted Sobolev space to weighted Lebesgue space for 1 < q < p < ∞
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