The convolution for the Kontorovich-Lebedev transform revisited

DOI10.1016/j.jmaa.2016.03.052zbMath1342.44005OpenAlexW2306822765MaRDI QIDQ269451

Pham Van Hoang, Nguyen Thanh Hong, Tuan, V. K.

Publication date: 18 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.052

zbMATH Keywords

convolutionKontorovich-Lebedev transformweighted norm inequalitiesconvolution integral equationparabolic differential equationsYoung-type theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Nonlinear parabolic equations (35K55) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

On the product formula and convolution associated with the index Whittaker transform ⋮ Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\) ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications

Cites Work

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• The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform
• Integral transforms of the Kontorovich-Lebedev convolution type
• Inequalities for Fourier cosine convolution and applications
• A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators
• BOUNDEDNESS AND INVERSION PROPERTIES OF CERTAIN CONVOLUTION TRANSFORMS
• Inequalities in the Most Simple Sobolev Space and Convolutions of L 2 Functions with Weights

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