Abstract
In this paper, reverse convolution inequalities for Lebedev–Skalskaya transforms (LS-transforms) are obtained. Further, convolutions associated to the Fourier and LS-transforms are introduced and relations between them are obtained. Moreover, their estimates in Lebesgue spaces are obtained and then, corresponding to it, reverse convolution inequalities are also studied. Some applications are also discussed.
Funding source: Council of Scientific and Industrial Research, India
Award Identifier / Grant number: 09/085(0123)/2019-EMR-I
Funding statement: The third author is supported by Council of Scientific and Industrial Research (CSIR), India under file no. 09/085(0123)/2019-EMR-I.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Approximating the group algebra of the lamplighter by infinite matrix products
- Shift invariance and reflexivity of compressions of multiplication operators
- Non-invariant deformations of left-invariant complex structures on compact Lie groups
- On the gaps between consecutive primes
- Trivial cup products in bounded cohomology of the free group via aligned chains
- Iwasawa invariants for elliptic curves over ℤp-extensions and Kida's formula
- Estimates of covering type and minimal triangulations based on category weight
- Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
- Stable vector bundles on generalized Kummer varieties
- Dirac series for complex 𝐸7
- On order of vanishing of characteristic elements
- On transitivity-like properties for torsion-free Abelian groups
- Reverse convolution inequalities for Lebedev–Skalskaya transforms
- Existence of weak solutions to a general class of diffusive shallow medium type equations
Artikel in diesem Heft
- Frontmatter
- Approximating the group algebra of the lamplighter by infinite matrix products
- Shift invariance and reflexivity of compressions of multiplication operators
- Non-invariant deformations of left-invariant complex structures on compact Lie groups
- On the gaps between consecutive primes
- Trivial cup products in bounded cohomology of the free group via aligned chains
- Iwasawa invariants for elliptic curves over ℤp-extensions and Kida's formula
- Estimates of covering type and minimal triangulations based on category weight
- Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
- Stable vector bundles on generalized Kummer varieties
- Dirac series for complex 𝐸7
- On order of vanishing of characteristic elements
- On transitivity-like properties for torsion-free Abelian groups
- Reverse convolution inequalities for Lebedev–Skalskaya transforms
- Existence of weak solutions to a general class of diffusive shallow medium type equations