Lipschitz r-continuity of the approximative subdifferential of a convex function.
Lipschitz regularity and approximate differentiability of the Diperna-Lions flow
Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite -variation.
Littlewood's inequality for -bimeasures.
lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.
Local and global solutions of well-posed integrated Cauchy problems
We study the local well-posed integrated Cauchy problem , v(0) = 0, t ∈ [0,κ), with κ > 0, α ≥ 0, and x ∈ X, where X is a Banach space and A a closed operator on X. We extend solutions increasing the regularity in α. The global case (κ = ∞) is also treated in detail. Growth of solutions is given in both cases.
Local and global -cone porosity
Local characterizations of Darboux Baire 1 functions
Local Field Singular Integrals with Complex Homogeneity.
Logarithmische Konvexität und Ungleichungsscharen.
Lokale Integralnomen und verallgemeinerte uneigentliche Riemann-Stieltjes-Integrale.
Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings [Book]
Lürothsche Reihen und singuläre Maße.
Lusin density and Ceder's differentiable restrictions of arbitrary real functions
Lyapunov stability solutions of fractional integrodifferential equations.
Maple tools for the Kurzweil integral
Riemann sums based on -fine partitions are illustrated with a Maple procedure.
Maps of the interval Ljapunov stable on the set of nonwandering points.
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...
Marczewski-Burstin-like characterizations of σ-algebras, ideals, and measurable functions
ℒ denotes the Lebesgue measurable subsets of ℝ and denotes the sets of Lebesgue measure 0. In 1914 Burstin showed that a set M ⊆ ℝ belongs to ℒ if and only if every perfect P ∈ ℒ$ℒ0 which is a subset of or misses M (a similar statement omitting “is a subset of or” characterizes ). In 1935, Marczewski used similar language to define the σ-algebra (s) which we now call the “Marczewski measurable sets” and the σ-ideal which we call the “Marczewski null sets”. M ∈ (s) if every perfect set P has...
Markov operators acting on Polish spaces
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.