Abstract
We study the compactness of commutator of a locally integrable function
and an oscillatory singular integral operator
defined by a real-valued polynomial and
a kernel function satisfying the Hölder condition.
We show that such a commutator is compact from
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12171250
Award Identifier / Grant number: U21A20426
Award Identifier / Grant number: 12271267
Funding statement: This work was partially supported by the National Natural Science Foundation of China (12171250, U21A20426 and 12271267).
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Rings of differential operators on (k,s)-th Tjurina algebras of singularities
- Cokernels of random matrix products and flag Cohen–Lenstra heuristic
- Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling
- The L p -L q compactness of commutators of oscillatory singular integrals
- Determination of a pair of newforms from the product of their twisted central values
- Metrical properties of exponentially growing partial quotients
- Nonlinear operations and factorizations on a class of affine modulation spaces
- On algebraic degrees of certain exponential sums over finite fields
- The ranks of (a,b)-Fibonacci sequences and congruences for certain partition functions and Ramanujan's mock theta functions
- Dynamics of radial threshold solutions for generalized energy-critical Hartree equation
- Modular representations of GL2(𝔽𝑞) using calculus
- Bounding the number of p'-degree characters from below
- Existence and multiplicity of non-radial sign-changing solutions for a semilinear elliptic equation in hyperbolic space
- Duality theorems for polyanalytic functions
- Lower bounds for the number of number fields with Galois group GL2(𝔽ℓ)
- Cylindrical ample divisors on Du Val del Pezzo surfaces
Artikel in diesem Heft
- Frontmatter
- Rings of differential operators on (k,s)-th Tjurina algebras of singularities
- Cokernels of random matrix products and flag Cohen–Lenstra heuristic
- Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling
- The L p -L q compactness of commutators of oscillatory singular integrals
- Determination of a pair of newforms from the product of their twisted central values
- Metrical properties of exponentially growing partial quotients
- Nonlinear operations and factorizations on a class of affine modulation spaces
- On algebraic degrees of certain exponential sums over finite fields
- The ranks of (a,b)-Fibonacci sequences and congruences for certain partition functions and Ramanujan's mock theta functions
- Dynamics of radial threshold solutions for generalized energy-critical Hartree equation
- Modular representations of GL2(𝔽𝑞) using calculus
- Bounding the number of p'-degree characters from below
- Existence and multiplicity of non-radial sign-changing solutions for a semilinear elliptic equation in hyperbolic space
- Duality theorems for polyanalytic functions
- Lower bounds for the number of number fields with Galois group GL2(𝔽ℓ)
- Cylindrical ample divisors on Du Val del Pezzo surfaces