Sentence examples for mu for some from inspiring English sources
The duality in (2) yields (mathcal {H}f = C mu ) for some (mu in M).
Using the fact (omegain A_{p-varepsilon}(mu)) for some (varepsilon>0) by Corollary 4.1, one sees that (mathbb{M}_{mu}) is bounded on (L^{p} omega,dmu)).
We use the notation (A_{infty}(mu)=bigcup_{p>1} A_{p}(mu)) to denote the class of weight functions (omegain A_{p}(mu)) for some (p>1).
This topology is in fact the convergence locally in measure topology in case that (L^{1}(mathcal{M},tau)=L^{1}(mu)) for some σ-finite measure space.
In this paper, we introduce multilinear fractional integrals and its commutators on non-homogeneous metric spaces, then we study the boundedness in Lebesgue spaces for these operators, provided that fractional integral is bounded from (L^{r}(mu)) to (L^{s}(mu)), for some (rin 1, 1/beta)) and (1/s=1/r-beta) with (0
Hence (lambda _jrho _j^* gamma mu _0^k = lambda _j tau = theta mu _0^l) for some (theta in mathcal {P}) and (l in mathbb {N}).
Note that any path ending in (v_0) can be written uniquely as (gamma mu _0^k) for some (gamma in mathcal {P}) and (k in mathbb {N}_0).
A function (G: mathbf{R}^{n} rightarrow mathbf{R}) is said to be ((lambda, mu -subconvex for somu -subconvex> 0), iforbigl(lambda(x+y)bigr) leqmubigl(G(x)+G(y)bigr), quad forall x, y in mathbf{R}^{n}.
A solution of equation (1) is a continuous function (x t)) defined on ([t_{1}-mu, infty)), for some (t_{1}>t_{0}), such that (Phi[r(t)x t)+int_{a}^{b}p t,theta)x t-theta),dtheta ]) is n times continuously differentiable and equation (1) holds for all (ngeq1).
A new calibration curve was constructed as a plot of molar mass Mu for PODMA.
