BOUNDEDNESS AND INVERSION PROPERTIES OF CERTAIN CONVOLUTION TRANSFORMS

Title & Authors
BOUNDEDNESS AND INVERSION PROPERTIES OF CERTAIN CONVOLUTION TRANSFORMS
Yakubovich, Semyon-B.;

Abstract
For a fixed function h we deal with a class of convolution transforms $\small{f\;{\rightarrow}\;f\;*\;h}$, where \$(f\;*\;h)(x)\;
Keywords
convolution transform;Kontorovich-Lebedev transform;Young inequality;
Language
English
Cited by
1.
Boundedness in weighted Lp spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications, Integral Transforms and Special Functions, 2017, 28, 8, 590
2.
The convolution for the Kontorovich–Lebedev transform revisited, Journal of Mathematical Analysis and Applications, 2016, 440, 1, 369
3.
On Fourier – Kontorovich–Lebedev generalized convolution transforms, Integral Transforms and Special Functions, 2017, 28, 4, 271
4.
On a progress in the Kontorovich–Lebedev transform theory and related integral operators, Integral Transforms and Special Functions, 2008, 19, 7, 509
5.
On the least values of Lp-norms for the Kontorovich–Lebedev transform and its convolution, Journal of Approximation Theory, 2004, 131, 2, 231
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