Displaying similar documents to “Riesz potential on the Heisenberg group.”

On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials

Guliyev, Emin (2009)

Fractional Calculus and Applied Analysis

Similarity:

Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...

Some remarks on Bochner-Riesz means

S. Thangavelu (2000)

Colloquium Mathematicae

Similarity:

We study L p norm convergence of Bochner-Riesz means S R δ f associated with certain non-negative differential operators. When the kernel S R m ( x , y ) satisfies a weak estimate for large values of m we prove L p norm convergence of S R δ f for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.