Fejér means for multivariate Fourier series.
Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces
The Littlewood-Paley theory is extended to weighted spaces of distributions on [-1,1] with Jacobi weights . Almost exponentially localized polynomial elements (needlets) , are constructed and, in complete analogy with the classical case on ℝⁿ, it is shown that weighted Triebel-Lizorkin and Besov spaces can be characterized by the size of the needlet coefficients in respective sequence spaces.
Analysis on the unit ball and on the simplex.
On polynomials of least deviation from zero in several variables.
Averaging techniques and oscillation of quasilinear elliptic equations
By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.
Existence of multiple solutions for a class of second-order ordinary differential equations.
Multiple periodic solutions for a class of second-order nonlinear neutral delay equations.
Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations.
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