A generalization of the Littlewood–Paley inequality for the fractional Laplacian (−Δ)α/2
- Kim, Ildoo
- Kim, Kyeong-Hun
DOIAbstract
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian (−Δ)α/2, where α∈(0,2)
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian (−Δ)α/2, where α∈(0,2)
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, Lap...
AbstractFor Rd or Td, a strong converse inequality of type A (in the terminology of Ditzian and Ivan...
AbstractTwo embeddings of a homogeneous endpoint Besov space are established via the Hausdorff capac...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
AbstractIn this paper, we study the existence of positive solutions and sign-changing solutions for ...
The existence and uniqueness of solution of stochastic differential equation driven by standard Brow...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractWe prove a retarded nonlinear integral inequality and present some applications of it to the...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
The paper is devoted to the study of the Cauchy-type problem for the differential equation involving...
We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In ...
AbstractLet (Ω,F,μ) be a probability space and let T=P1P2⋯Pd be a finite product of conditional expe...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, Lap...
AbstractFor Rd or Td, a strong converse inequality of type A (in the terminology of Ditzian and Ivan...
AbstractTwo embeddings of a homogeneous endpoint Besov space are established via the Hausdorff capac...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
AbstractIn this paper, we study the existence of positive solutions and sign-changing solutions for ...
The existence and uniqueness of solution of stochastic differential equation driven by standard Brow...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractWe prove a retarded nonlinear integral inequality and present some applications of it to the...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
The paper is devoted to the study of the Cauchy-type problem for the differential equation involving...
We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In ...
AbstractLet (Ω,F,μ) be a probability space and let T=P1P2⋯Pd be a finite product of conditional expe...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, Lap...
AbstractFor Rd or Td, a strong converse inequality of type A (in the terminology of Ditzian and Ivan...
AbstractTwo embeddings of a homogeneous endpoint Besov space are established via the Hausdorff capac...
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