Makale detayı · 2013
Marcinkiewicz Integrals with Rough Kernel Associated with Schrodinger Operator on Vanishing Generalized Morrey Spaces (pp.40-54)
Dergi
Azerbaijan Journal of Mathematics- Yıl
- 2013
- Tür
- article
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- YÖKSİS dergi adı Azerbaijan Journal of Mathematics
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Özet
OpenAlex · İngilizce
Let L=-Δ+V be a Schrodinger operator, where Δ is the Laplacian on R n , while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the boundedness of the Marcinkiewicz operator with rough kernel associated with Schrodinger operator μ L j,Ω on vanishing generalized Morrey spaces VM p, φ (R n ). We find the sufficient conditions on the pair ( φ 1 , φ 2 ) which ensures the boundedness of the operators μ L φ,Ω from one vanishing generalized Morrey space VM p, φ 1 (R n ) to another VM p, φ 2 (R n ), 1<p< ∞ and from the space VM 1, φ 1 (R n ) to the weak space WVM 1, φ 2 (R n ).
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Yerel katalogda bu makaleye atıf yapan 9 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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