Majoration des semi-groupes de contractions de L1 et applications
Majorizing Operators between Lp Spaces and an Operator Extension of Lebesgue's Dominated Convergence Theorem.
Mapping properties of integral averaging operators
Characterizations are obtained for those pairs of weight functions u and v for which the operators with a and b certain non-negative functions are bounded from to , 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.
Mapping properties of maximal operators
Mapping properties of the elliptic maximal function.
We prove that the elliptic maximal function maps the Sobolev space W4,eta(R2) into L4(R2) for all eta > 1/6. The main ingredients of the proof are an analysis of the intersectiQn properties of elliptic annuli and a combinatorial method of Kolasa and Wolff.
Mappings of continuous functions on hyper-Stonean spaces
Mappings of finite distortion: composition operator.
Marcinkiewicz multipliers of higher variation and summability of operator-valued Fourier series
Let , where, for 1 ≤ r < ∞, (resp., ) denotes the class of functions (resp., bounded functions) g: → ℂ such that g has bounded r-variation (resp., uniformly bounded r-variations) on (resp., on the dyadic arcs of ). In the author’s recent article [New York J. Math. 17 (2011)] it was shown that if is a super-reflexive space, and E(·): ℝ → () is the spectral decomposition of a trigonometrically well-bounded operator U ∈ (), then over a suitable non-void open interval of r-values, the condition...
Martingale operators and Hardy spaces generated by them
Martingale Hardy spaces and BMO spaces generated by an operator T are investigated. An atomic decomposition of the space is given if the operator T is predictable. We generalize the John-Nirenberg theorem, namely, we prove that the spaces generated by an operator T are all equivalent. The sharp operator is also considered and it is verified that the norm of the sharp operator is equivalent to the norm. The interpolation spaces between the Hardy and BMO spaces are identified by the real method....
Matrix subspaces of L₁
If and are two 1-unconditional basic sequences in L₁ with E r-concave and F p-convex, for some 1 ≤ r < p ≤ 2, then the space of matrices with norm embeds into L₁. This generalizes a recent result of Prochno and Schütt.
Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces
We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
Maximal ideals in algebras of vector-valued functions.
Maximal ideals in the Lie algebra of vector fields
Maximal inequality in -uniform domains.
Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear potential theory.
Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed -norm.
Maximal seminorms on Weak
Maxis smoothing operators and some Orlicz classes
Mazur spaces.
Mean Oscillation of Functions and the Paley-Wiener Space.