Abstract
The purpose of this article is to present one and two-weight inequalities for bilinear multiplier operators in Dunkl setting with multiple Muckenhoupt weights. In order to do so, new results regarding Littlewood–Paley type theorems and weighted inequalities for multilinear Calderón–Zygmund operators in Dunkl setting are also proved.
Funding statement: The first author is supported by a research fellowship from the Department of Atomic Energy (DAE), Government of India.
Acknowledgements
We thank the anonymous referee for her/his careful reading and helpful suggestions and comments.
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Communicated by: Christopher D. Sogge
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Triangles with one fixed side–length, a Furstenberg-type problem, and incidences in finite vector spaces
- Existence and multiplicity of solutions for fractional Schrödinger-p-Kirchhoff equations in ℝ N
- Estimates of Picard modular cusp forms
- Some q-supercongruences from a q-analogue of Watson's 3 F 2 summation
- Existence of strong solutions for one-dimensional reflected mixed stochastic delay differential equations
- Free groups generated by two unipotent maps
- Degenerate Schrödinger--Kirchhoff {(p,N)}-Laplacian problem with singular Trudinger--Moser nonlinearity in ℝ N
- Colored multizeta values in positive characteristic
- Simultaneous nonvanishing of central L-values with large level
- Laplace convolutions of weighted averages of arithmetical functions
- Cohomological properties of maximal pro-p Galois groups that are preserved under profinite completion
- On the geometric trace of a generalized Selberg trace formula
- Elementary properties of free lattices
- Weighted estimates for product singular integral operators in Journé’s class on RD-spaces
- Small generators of abelian number fields
- Pointwise convergence and nonlinear smoothing of the generalized Zakharov–Kuznetsov equation
- Weighted bilinear multiplier theorems in Dunkl setting via singular integrals
Artikel in diesem Heft
- Frontmatter
- Triangles with one fixed side–length, a Furstenberg-type problem, and incidences in finite vector spaces
- Existence and multiplicity of solutions for fractional Schrödinger-p-Kirchhoff equations in ℝ N
- Estimates of Picard modular cusp forms
- Some q-supercongruences from a q-analogue of Watson's 3 F 2 summation
- Existence of strong solutions for one-dimensional reflected mixed stochastic delay differential equations
- Free groups generated by two unipotent maps
- Degenerate Schrödinger--Kirchhoff {(p,N)}-Laplacian problem with singular Trudinger--Moser nonlinearity in ℝ N
- Colored multizeta values in positive characteristic
- Simultaneous nonvanishing of central L-values with large level
- Laplace convolutions of weighted averages of arithmetical functions
- Cohomological properties of maximal pro-p Galois groups that are preserved under profinite completion
- On the geometric trace of a generalized Selberg trace formula
- Elementary properties of free lattices
- Weighted estimates for product singular integral operators in Journé’s class on RD-spaces
- Small generators of abelian number fields
- Pointwise convergence and nonlinear smoothing of the generalized Zakharov–Kuznetsov equation
- Weighted bilinear multiplier theorems in Dunkl setting via singular integrals