An endpoint estimate for some maximal operators
نویسندگان
چکیده
منابع مشابه
An endpoint estimate for the Kunze - Stein phenomenon and related maximal operators
One of the purposes of this paper is to prove that if G is a noncompact connected semisimple Lie group of real rank one with finite center, then L(G) ∗ L(G) ⊆ L(G). Let K be a maximal compact subgroup of G and X = G/K a symmetric space of real rank one. We will also prove that the noncentered maximal operator M2f(z) = sup z∈B 1 |B| ∫ B |f(z)| dz is bounded from L2,1(X) to L2,∞(X) and from Lp(X)...
متن کاملAn Endpoint Smoothing Estimate for Schrödinger Equations
We prove that the multiplier operator U t defined by Û α t f = e it|·| f̂ is bounded from Lpβ(R ) to L(R × [0, 1]) for all β ≥ αd( 1 2 − 1 p )− α p when p ∈ ( 2(d+3) d+1 ,∞). This is sharp with respect to the Sobolev index when α 6= 1.
متن کاملSome Maximal Operators related to Families of Singular Integral Operators∗
In this paper, we shall study Lp−boundedness of two kinds of maximal operators related to some families of singular integrals. 2000 MSC: Primary 42B20, Secondary 42B25, 42B30
متن کاملSome Estimates for Rough Multilinear Fractional Integral Operators and Rough Multi-sublinear Fractional Maximal Operators
It is well known that, for the purpose of researching non-smoothness partial differential equation, mathematicians pay more attention to the singular integrals with rough kernel. Moreover, the fractional type operators and their weighted boundedness theory play important roles in harmonic analysis and other fields, and the multilinear operators arise in numerous situations involving product-lik...
متن کاملInterpolation methods to estimate eigenvalue distribution of some integral operators
We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel-Lizorkin function space Fσ pu(F qv) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel-Lizorkin space Fσ pu(Ω) and Besov space Bτ pq(Ω) and the interpolation methods to get an estimation for the distribution of eigenvalues in Lizo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 1996
ISSN: 0213-2230
DOI: 10.4171/rmi/209