AbstractIn this paper, we derive a multiplier formula for Hörmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)1/2(Sn−1) as well as the optimality of the Block size condition
AbstractIn this paper, we consider the solution to Wente's problem with the modified Helmholtz opera...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractWe consider the singular integral operator T with kernel K(x)=Ω(x)/|x|n and prove its bounde...
AbstractFor α>0, we study the singular integral operators TΩ,α and the Marcinkiewicz integral operat...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
AbstractIn this note we prove that the higher-order commutators μmΩ,b, μ∗,mΩ,λ,b and μmΩ,S,b are all...
AbstractLet K be a generalized Calderón–Zygmund kernel defined on Rn×(Rn∖{0}). The singular integral...
An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
AbstractLet h, γ, and φ be radial functions on Rn and let Ω∈H1(Sn−1). Under certain natural conditio...
AbstractThe aim of this article is to prove that, given two potential functionals Ψ1, Ψ2 on W1,2(Ω) ...
AbstractLet (Ω,F,μ) be a probability space and let T=P1P2⋯Pd be a finite product of conditional expe...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper, we consider the solution to Wente's problem with the modified Helmholtz opera...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractWe consider the singular integral operator T with kernel K(x)=Ω(x)/|x|n and prove its bounde...
AbstractFor α>0, we study the singular integral operators TΩ,α and the Marcinkiewicz integral operat...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
AbstractIn this note we prove that the higher-order commutators μmΩ,b, μ∗,mΩ,λ,b and μmΩ,S,b are all...
AbstractLet K be a generalized Calderón–Zygmund kernel defined on Rn×(Rn∖{0}). The singular integral...
An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
AbstractLet h, γ, and φ be radial functions on Rn and let Ω∈H1(Sn−1). Under certain natural conditio...
AbstractThe aim of this article is to prove that, given two potential functionals Ψ1, Ψ2 on W1,2(Ω) ...
AbstractLet (Ω,F,μ) be a probability space and let T=P1P2⋯Pd be a finite product of conditional expe...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper, we consider the solution to Wente's problem with the modified Helmholtz opera...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
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