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Integrability properties of integral transforms via morrey spaces [PDF]

open access: yesFractional Calculus and Applied Analysis, 2020
We show that integrability properties of integral transforms with kernel depending on the product of arguments (which include in particular, popular Laplace, Hankel, Mittag-Leffler transforms and various others) are better described in terms of Morrey ...
Natasha Samko
exaly   +2 more sources
Some of the next articles are maybe not open access.

Watson integral transforms on new spaces of functions and distributions

Publicationes Mathematicae Debrecen, 1995
Summary: We investigate Watson integral transformations in new spaces of functions and distributions. In the procedure developed the Mellin integral transformation plays an essential role. Our investigation includes many important well-known special cases: \(H\)-transformation, Krätzel transformation, Riemann-Liouville and Weyl fractional integrals ...
Betancor, J. J., Jerez, C.
openaire   +2 more sources

Boundary Values of Cauchy Transforms in Weighted Spaces of Integrable Distributions

Complex Variables, Theory and Application: An International Journal, 2003
Let $ k \in {\shadN} $ , $ w(x) = (1+x^2)^{1/2} $ , $ V^{\prime} _k = w^{k+1} {\cal D}^{\prime} _{L^1} = \{{ \,f \in {\cal S}^{\prime}{:}\; w^{-k-1}f \in {\cal D}^{\prime} _{L^1}}\} $ . For $ f \in V^{\prime} _k $ , let $ C_{\eta ,k\,}f = C_0(\xi \,f) + z^k C_0(\eta \,f/t^k)$ where $ \xi \in {\cal D} $ , $ 0 \leq \xi (x) \leq 1 $ $ \xi (x) = 1 $ in a ...
C. Carton-Lebrun, F. Colacito
openaire   +1 more source

Deriving integral equations for radial distribution functions of multicomponent mixtures on the basis of scale transformations in the phase space

Theoretical and Mathematical Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bulavin, L. A.   +2 more
openaire   +1 more source

Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
Kwok-Pun Ho
exaly  

Positive definite functions on products of metric spaces by integral transforms

Journal of Mathematical Analysis and Applications, 2022
Willian Franca
exaly  

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