【摘要】 假定μ是仅满足一个增长条件的Radon测度,即存在一个正常数C使得对所有的x∈Rd,r>0以及对某个固定的n∈(0,d]都成立μ(B(x,r))≤Crn.对适当的参数ρ和λ,证明了参数型g*λ函数M*,ρλ和参数型Marcinkiewicz积分Mρ在Morrey空间Mp q(k,μ)上是有界的.更多还原

【Abstract】 Let μ be a non-negative Radon measure on Rdwhich only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r)) ≤ Crnfor all x ∈ Rd,r > 0 and some fixed n ∈(0,d].We will prove that for suitable indexes ρ and λ the parametrized g?λfunction M?,ρλand Mρare bounded on Mpq(k,μ) spaces.更多还原