Category:Measure theory

• Theorems in measure theory (63 P)

D

• Definitions of mathematical integration (2 C, 28 P)

I

• Integral geometry (1 C, 19 P)
• Integral representations (1 C, 7 P)

L

• Lp spaces (21 P)

M

• Measure theorists (1 C, 22 P)
• Measures (measure theory) (1 C, 73 P)
• Measures (set theory) (3 P)

P

• Probability theory (20 C, 89 P)

• Measure (mathematics)
• Set-theoretic limit

A

• Absolute continuity
• Abstract Wiener space
• Almgren–Pitts min-max theory
• Almost everywhere
• Approximate tangent space
• Atom (measure theory)
• Aubin–Lions lemma

B

• Ba space
• Baire set
• Banach–Tarski paradox
• Bochner measurable function
• Borel isomorphism
• Bounded variation
• Brezis–Lieb lemma

C

• Caccioppoli set
• Cantor function
• Cantor set
• Carathéodory's criterion
• Cartan–Hadamard conjecture
• Category of Markov kernels
• Category of measurable spaces
• Christ–Kiselev maximal inequality
• Clarkson's inequalities
• Classical Wiener space
• Coarea formula
• Computable measure theory
• Concentration of measure
• Content (measure theory)
• Continuity set
• Conull set
• Convergence in measure
• Convergence of measures
• Crofton formula
• Curvature of a measure
• Cylinder set
• Cylindrical σ-algebra

D

• Delta-ring
• Differentiable measure
• Differentiation of integrals
• Dirac delta function
• Direct integral
• Discrepancy theory
• Distortion (mathematics)
• Distribution function (measure theory)

E

• Effective dimension
• Equivalence (measure theory)
• Essential infimum and essential supremum
• Essential range
• Euler calculus
• Euler measure

F

• Falconer's conjecture
• Filtration (mathematics)
• Finite-dimensional distribution
• Fuzzy measure theory

G

• Geometric measure theory
• Giry monad

H

• H-derivative
• Hamburger moment problem
• Hanner's inequalities
• Hausdorff density
• Hausdorff paradox
• Holmes–Thompson volume
• Homological integration
• Hopf decomposition

I

• Incompatibility of quantum measurements
• Indicator function
• Infinite-dimensional Lebesgue measure
• Information theory and measure theory
• Integration by parts operator
• Intensity (measure theory)

J

• Jaccard index
• Jankov–von Neumann uniformization theorem

K

• Klee's measure problem

L

• Laplacian of the indicator
• Lebesgue integral
• Lévy metric
• Lévy–Prokhorov metric
• Lifting theory
• Littlewood's three principles of real analysis
• Locally integrable function
• Loeb space
• Lp space
• Luzin N property

M

• Malliavin's absolute continuity lemma
• Measurable acting group
• Measurable function
• Measurable group
• Measurable space
• Measure algebra
• Measure space
• Measure-preserving dynamical system
• Minkowski content
• Minkowski inequality
• Minkowski–Steiner formula

N

• Nikodym set
• Non-measurable set
• Null set

O

• Overlap coefficient

P

• Pettis' theorem
• Pi-system
• Planar lamina
• Pointwise convergence
• Portmanteau theorem
• Positive and negative sets
• Positive real numbers
• Prevalent and shy sets
• Progressively measurable process
• Projection (measure theory)

R

• Individual pieces set
• Radon–Nikodym set
• Radonifying function
• Real-valued function
• Rectifiable set
• Regular conditional probability
• Ring of sets
• Ruziewicz problem

S

• Set function
• Sierpiński set
• Sigma-additive set function
• Sigma-ideal
• Sigma-ring
• Signed area
• Simple function
• Simple matching coefficient
• Smith–Volterra–Cantor set
• Solovay model
• Dice-Sørensen coefficient
• Standard Borel space
• Standard probability space
• Strong measure zero set
• Sugeno integral
• Support (measure theory)
• Symmetric decreasing rearrangement

T

• Τ-additivity
• Talagrand's concentration inequality
• Tightness of measures
• Tonelli's theorem (functional analysis)
• Transportation theory (mathematics)
• Trigonometric moment problem
• Tversky index

U

• Unit impulse
• Universally measurable set

V

• Vague topology
• Valuation (measure theory)
• Varifold
• Vitali covering lemma
• Vitali set
• Volterra's function
• Volume element
• Von Neumann paradox

W

• Wasserstein metric
• Weakly measurable function
• Weierstrass function
• Weight function

Σ

• Σ-algebra