We show that if f is locally in L log log L then the lacunary spherical means converge almost everywhere. The argument given here is a model case for more general results on singular maximal functions and Radon transforms [6]. 1
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
Abstract. We show that if f is locally in L log logL then the lacunary spherical means converge almo...
Abstract. We show that some singular maximal functions and singular Radon transforms satisfy a weak ...
AbstractIn this paper, we give a new proof of a result of R. Jones showing almost everywhere converg...
We consider spherical means of continuous functions on the unit tangent bundle of a compact, non-pos...
We study a generalized spherical means operator, viz.\ generalized spherical mean Radon transform, ...
Abstract We offer a new approach to deal with the pointwise convergence of Fourier-Laplace series on...
It is proved that the local smoothing conjecture for wave equations implies certain improvements on ...
We show that if log(2 − Δ)f ∈ L²(ℝd), then the inverse Fourier transform of f converges almost every...
AMS 1991 subject classifications. Primary 60F15, 60G10, 60G60; secondary 60G12, 47A35.It is shown he...
summary:The definition of lacunary strongly convergence is extended to the definition of lacunary st...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove analogue statements of the spherical maximal theorem of E. M. Stein, for the lattice points...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
Abstract. We show that if f is locally in L log logL then the lacunary spherical means converge almo...
Abstract. We show that some singular maximal functions and singular Radon transforms satisfy a weak ...
AbstractIn this paper, we give a new proof of a result of R. Jones showing almost everywhere converg...
We consider spherical means of continuous functions on the unit tangent bundle of a compact, non-pos...
We study a generalized spherical means operator, viz.\ generalized spherical mean Radon transform, ...
Abstract We offer a new approach to deal with the pointwise convergence of Fourier-Laplace series on...
It is proved that the local smoothing conjecture for wave equations implies certain improvements on ...
We show that if log(2 − Δ)f ∈ L²(ℝd), then the inverse Fourier transform of f converges almost every...
AMS 1991 subject classifications. Primary 60F15, 60G10, 60G60; secondary 60G12, 47A35.It is shown he...
summary:The definition of lacunary strongly convergence is extended to the definition of lacunary st...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove analogue statements of the spherical maximal theorem of E. M. Stein, for the lattice points...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (po,P1)...