On $L_p$-solutions of $n$th order nonlinear differential equation

Dušan Mamrilla

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Points sets with low $L_{p}$ discrepancy

Peter Kritzer, Friedrich Pillichshammer (2007)

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Nonconvolution transforms with oscillating kernels that map $Ḃ_{1}^{0, 1}$ into itself

G. Sampson (1993)

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We consider operators of the form $(Ω f) (y) = ʃ_{- \infty}^{\infty} Ω (y, u) f (u) d u$ with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and $h \in L^{\infty}$ (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space $Ḃ_{1}^{0, 1}$ (= B) into itself. In particular, all operators with $h (y) = e^{{i | y |}^{a}}$ , a > 0, a ≠ 1, map B into itself.

On equations with rotations

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On the existence of series solution of differential equations of generalized order

Al-Bassam, M.A. (1970)

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Displaying similar documents to “On L p -solutions of n th order nonlinear differential equation”

Points sets with low L p discrepancy

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Origami

On the existence of series solution of differential equations of generalized order

Absolute comparison theorems for double weighted mean and double Cesàro means

Displaying similar documents to “On $L_{p}$ -solutions of $n$ th order nonlinear differential equation”

Points sets with low $L_{p}$ discrepancy

Nonconvolution transforms with oscillating kernels that map $Ḃ_{1}^{0, 1}$ into itself