
Let \(M^p_q\), \(0 0}|B(x,R)|^{1/p- 1/q}\| f\|_{L^q(B(x,R))} 0}|\phi_t* f|\Biggr\|_{M^p_q}<\infty, \] is defined, where \(\phi\in S(\mathbb{R}^n)\) satisfies \(\int\phi(x)\,dx= 1\) and \(P\) is the set of all polynomials. A theorem on decomposition of \(f\in HM^p_q\) in a sum of dyadic \((p,q)_t\)-atoms is proved, with convergence understood in the sense of \(S'/P\).
Hardy–Morrey space, maximal function, Applied Mathematics, Atomic decomposition, Function spaces arising in harmonic analysis, Hardy-Morrey space, Analysis, Maximal function, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), atomic decomposition
Hardy–Morrey space, maximal function, Applied Mathematics, Atomic decomposition, Function spaces arising in harmonic analysis, Hardy-Morrey space, Analysis, Maximal function, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), atomic decomposition
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