ViewPager inside BottomSheetDialogFragment

Try to change your code like below:

...
LayoutInflater inflater = getActivity().getLayoutInflater();
root = inflater.inflate(R.layout.fragment_daily_detail, null);
...
sectionsPagerAdapter = new SectionsPagerAdapter(getSupportFragmentManager());
//Use getSupportFragmentManager() instead of getChildFragmentManager(),
...

UPDATED

I solved the problem inflating the view in "onCreateView()". Anyway, I have setted a RecyclerView inside the ViewPager and the RecyclerView vertical scroll is very unstable, sometimes works and sometimes doesn't, so I'll try do this screen in another way.

@Nullable
@Override
public View onCreateView(LayoutInflater inflater, ViewGroup container, Bundle savedInstanceState) {
    Log.d(TAG, "onCreateview");

    View root = inflater.inflate(R.layout.fragment_daily_detail, container);

    mImageClose = root.findViewById(R.id.imageViewClose);
    mTextViewTitle = (TextView) root.findViewById(R.id.textViewTitle);
    mPeekLayout = root.findViewById(R.id.peekLayout);
    mTabLayout = (TabLayout) root.findViewById(R.id.tabs);
    mViewPager = (ViewPager) root.findViewById(R.id.viewPager);

    mImageClose.setOnClickListener(new View.OnClickListener() {
        @Override
        public void onClick(View v) {
            getDialog().dismiss();
        }
    });

    mTextViewTitle.setText("Daily detail");

    mSectionsPagerAdapter = new SectionsPagerAdapter(getChildFragmentManager());
    mViewPager.setAdapter(mSectionsPagerAdapter);
    mTabLayout.setupWithViewPager(mViewPager);

    mViewPager.setCurrentItem(mPageNumber);

    mPeekLayout.getViewTreeObserver().addOnGlobalLayoutListener(
            new ViewTreeObserver.OnGlobalLayoutListener() {

                @Override
                public void onGlobalLayout() {

                    BottomSheetDialog dialog = (BottomSheetDialog) getDialog();

                    FrameLayout bottomSheet = (FrameLayout) dialog.findViewById(android.support.design.R.id.design_bottom_sheet);
                    mBottomSheetBehavior = BottomSheetBehavior.from(bottomSheet);

                    // gets called after layout has been done but before display
                    // so we can get the height then hide the view
                    int height = mPeekLayout.getHeight();
                    Log.d(TAG, "Height: " + height);
                    mBottomSheetBehavior.setPeekHeight(height);
                    mBottomSheetBehavior.setBottomSheetCallback(mBottomSheetBehaviorCallback);
                }
            });

    return root;
}