Weighted estimates for the Hankel-, $\underline{K}$- and $Y$- transformations

Salah A. A. Emara

Displaying similar documents to “Weighted estimates for the Hankel-, $\underset{̲}{K}$ - and $Y$ - transformations”

Oscillation and nonoscillation of two terms linear and half-linear equations of higher order.

Oinarov, R., Rakhimova, S.Y. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

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Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .

The index $_{2} F_{1}$ -transform of generalized functions

N. Hayek, Benito J. González (1993)

Commentationes Mathematicae Universitatis Carolinae

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In this paper the index transformation $F (τ) = \int_{0}^{\infty} f (t)_{2} F_{1} (μ + \frac{1}{2} + i τ, μ + \frac{1}{2} - i τ; μ + 1; - t) t^{α} d t$ $_{2} F_{1} (μ + \frac{1}{2} + i τ, μ + \frac{1}{2} - i τ; μ + 1; - t)$ being the Gauss hypergeometric function, is defined on certain space of generalized functions and its inversion formula established for distributions of compact support on $𝐈 = (0, \infty)$ .

Displaying similar documents to “Weighted estimates for the Hankel-, K ̲ - and Y - transformations”

Oscillation and nonoscillation of two terms linear and half-linear equations of higher order.

Singular Dirichlet boundary value problems. II: Resonance case

The index 2 F 1 -transform of generalized functions

Displaying similar documents to “Weighted estimates for the Hankel-, $\underset{̲}{K}$ - and $Y$ - transformations”

The index $_{2} F_{1}$ -transform of generalized functions